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Marivicsantos1318go
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In a Mathematics class, Mrs. Antonio wants to group her pupils of boys and girls. If there are 24 boys and 36 girls, what is the biggest number that Mrs. Antonio can group her pupils with the same number in each group? How will you solve for the answer to the problem? Can you group the pupils of Mrs. Antonio equally?
paki sgot po ng maayos pls​

In A Mathematics Class Mrs Antonio Wants To Group Her Pupils Of Boys And Girls If There Are 24 Boys And 36 Girls What Is The Biggest Number That Mrs Antonio Can class=

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KizunaHighgo

[tex]\large \bold {SOLUTION}[/tex]

By prime factorization, list down the prime factors of each values.

[tex]\small\sf{24 = {2}^{3} \: • \: 3 } \\ [/tex]

[tex]\small\sf{36 = {2}^{2} \: • \: {3}^{2} }[/tex]

Multiply the common factors

[tex]\small\sf{common \: factors \: = {2}^{2} \: • \: 3 }[/tex]

[tex]\small\sf{gcd(24,36) = {2}^{2} \: • \: 3}[/tex]

[tex]\small\boxed{\green{\sf{gcd(24,36) = 12 \: students }}}[/tex]

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