Question

Find the HCF of 144 and 180 with solving sum .​

Answer 1

Answer:

Hello Buddy!..

Step-by-step explanation:

We can find the HCF of 144 and 180 by the following two methods:

Listing the common factors Method

Long division Method

Factors of 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144

Factors of 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180

Common Factors of 144 and 180: 1, 2, 3, 4, 6, 9, 12, 18 and 36

The Highest Common Factor 144 and 180 from the list is 36

HCF of 144 and 180 is 36

Hope that helps ya..

Bye!... ^_^

#sugarflake ❤

Answer 2

Step-by-step explanation:

To find:

Value of m

Solution:

Given: H.C.F. of 144 and 180 is expressed in form of 13m–3.

H.C.F. of 144 and 180 is as under:

144=12 \times 12=2 \times 2 \times 2 \times 2 \times 3 \times 3144=12×12=2×2×2×2×3×3

180=10 \times 18=2 \times 2 \times 5 \times 3 \times 3180=10×18=2×2×5×3×3

Hence, H.C.F. of 144 \text { and } 180=2 \times 2 \times 3 \times 3=36144 and 180=2×2×3×3=36

H.C.F. of 144 and 180 is mentioned as 13m–3 in the question. So,

13 m-3=3613m−3=36

13 \mathrm{m}=36+313m=36+3

13 \mathrm{m}=3913m=39

m=\frac{39}{13}m=

13

39

\mathrm{m}=3m=3