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Mamonmariennego
Answered

find the common factors and greatest common factor using any method
9 and 18 (GCF)
10 and 20 (GCF)
8 and 24 (LCM)
5 and 35 (LCM)​

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Dokyungsoo30go

Answer:

[tex]1. \: 9 \: and \: 18[/tex]

[tex]the \: answer \: is \: 18[/tex]

[tex]2. \: 10 \: and \: 20[/tex]

[tex]the \: answer \: is \: 20[/tex]

[tex]3. \: 8 \: and \: 24[/tex]

[tex]the \: answer \: is \: 24[/tex]

[tex]4. \: 5 \: and \: 35[/tex]

[tex]the \: answer \: is \: 35[/tex]

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Wubaago

Answer:

9 and 18(GCF)=9

10 and 20(GCF)=10

8 and 24(LCM)=24

5 and 35(LCM)=35

Step-by-step explanation:

1. Greatest common factor (GCF) of 9 and 18 is 9. We will now calculate the prime factors of 9 and 18, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9 and 18.

2. We found the factors and prime factorization of 10 and 20. The biggest common factor number is the GCF number. So the greatest common factor 10 and 20 is 10.

3. Find the prime factorization of 8

8 = 2 × 2 × 2

Find the prime factorization of 24

24 = 2 × 2 × 2 × 3

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 2 × 2 × 3

LCM = 24

4. Find the prime factorization of 5

5 = 5

Find the prime factorization of 35

35 = 5 × 7

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 5 × 7

LCM = 35

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