Question

Using Euclid's division algorithm find HCF of 300,540 and 890

Answer 1

HCF of 300 and 540 can be found out as follows :



since, remainder = 0,

∴ HCF (300, 540) is = 60

Now, find the HCF OF 60 and 890 as follows :



∴ HCF (60, 890) = 10

Thus, HCF (300, 540, 890) = 10




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Answer 2

Answer:  10 is the H.C.F. of 540, 890, and 300.

Step-by-step explanation:

We have three numbers : 540, 300, 540

Using Euclid's division algorithm,

we will take two numbers 540 and 890.

890=540×1+350

540=350×1+190

350=190×1+160

190=160×1+30

160=30×5+10

30=10×3+0

Now, we will divide 300 by 10.

and we get that 300 is completely divisible by10.

Hence, 10 is the H.C.F. of 540, 890, and 300.