Question

what is the HCF of 2/3,3/4,4/5 ?​

Answer 1

The fraction of hcf= hcf of 2,3,4/ Lcm of 3,4,5

answer =1/60

Answer 2

Step-by-step explanation:

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

To find: HCF

Solution:

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

here,

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

HCF(2,3,4) can be solved using prime factors

$2 = 2 \times 1 \\ 3 = 3 \times 1 \\ 4 = 2 \times 2 \times 1$

HCF(2,3,4)=1

By the same way take LCM using prime factorisation.

LCM(3,4,5)=60

Thus,

HCF of (2/3,3/4,4/5)=1/15

Final answer:

HCF of (2/3,3/4,4/5)=1/15

Hope it helps you.

To learn more on brainly:

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