Question

Find the greatest mass that can be taken an exact number of times from 360g, 504g, and 672g.

Answer 1

Answer:

let me rephrase the question ...

what is the greatest common factor of

720, 1008, and 672 ?

720 = 8*9*10 = 16*3*3*5

1008 = 8*9*14 = 16*3*3*7

672 = 16*3*2*7

so who is common?

looks like 16*3 or 48

check:

720/48 = 15

1008/48 = 21

672/48 = 14 , nothing common in any of those 3 answers.

so the answer is 72 grams

Step-by-step explanation:

hope it helps

plz mark as the brainliest

Answer 2

Given: 360g, 504g, and 672g

To find: The greatest mass that can be taken an exact number of times from 360g, 540g, and 672 g

Solution: According to the given question,

We need to find the greatest mass that can be taken an exact number of times from 360g, 540g, and 672g

To find that, we need to calculate Highest common factor (H.C.F) of 360, 540 and 672

Using prime factorization,

360 = 2 x 2 x 2 x 3 x 3 x 5

504 = 2 x 2 x 2 x 3 x 3 x 7

672 = 2 x 2 x 2 x 2 x 2 x 3 x 7

H.C.F of 360, 504 and 672 = 2 x 2 x 2 x 3 = 24

Therefore, 24g mass can be taken an exact number of times from 360g, 504g, and 672g.

Verification:

360  = 24 × 15

504 = 24 × 21

672 = 24 × 28