Question

H.C.F of 2/3 and 4/5​

Answer 1

Answer:

2/15

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Given:

$\frac{2}{3}, \: \frac{4}{5}$

To find: HCF

Solution:

HCF of rational numbers (a/b,c/d):HCF(a,c)/LCM(b,d)

here,

HCF of $\frac{2}{3} , \: \frac{4}{5}$

=$\frac{HCF(2, \: 4)}{LCM(3, \: 5)}$

HCF(2,4) can be solved using prime factors

$2 = 2 \times 1 \\ 4 = 2 \times 2 \times 1$

HCF(2,4)=2

LCM(3,5)=15

because 3 and 5 are prime numbers.

Thus,

HCF of (2/3,4/5)=2/15

Final answer:

HCF of (2/3,4/5)=2/15

Hope it helps you.

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