How to Find GCF of 636/643, 8734/9494?

GCF of 636/643, 8734/9494

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 636/643, 8734/9494 i.e 2/6104642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 636/643, 8734/9494.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 636/643,8734/9494?

Given fractions are 636/643,8734/9494

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 636/643,8734/9494, numerators are 636,8734

Denominators are 643,9494

The GCF of 636,8734 is 2 .

LCM of 643,9494 is 6104642.

The greatest common factor of 636/643,8734/9494 = [GCF of 636,8734]/[LCM of 643,9494]= 2/6104642

Therefore, the GCF of 636/643,8734/9494 is 2/6104642.

Greatest Common Factor of 636,8734

To find the highest common factor of 636,8734, we have to find the factors of both numbers and list the highest common factor.

The factors of 636 are 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

The factors of 8734 are 1, 2, 11, 22, 397, 794, 4367, 8734

The HCF of 636,8734 is 2.

Lets's calculate GCF of 636,8734

Greatest Common Factor (GCF) of 636,8734 By Common Division

2	636, 8734
	318, 4367

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 636,8734 By Matching Biggest Common Factor Method

Now, list down the factors of 636

1,2,3,4,6,12,53,106,159,212,318,636

Now, list down the factors of 8734

1,2,11,22,397,794,4367,8734

Greatest Common Factor

We found the factors 636,8734 . The biggest common factor number is the GCF number.
So the greatest common factor 636,8734 is 2.

Lets's calculate LCM of 643,9494

Lowest Common Multiple of 643,9494 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6104642

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6104642

Therefore, the GCF of Fractions 636/643,8734/9494 is 2/6104642

Least Common Multiple of 643,9494 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 643,9494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(643,9494) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(643,9494) x common factors =1 x 1 = 1

LCM(643,9494) = ( 643 × 9494 ) / 1

LCM(643,9494) = 6104642 / 1

LCM(643,9494) = 6104642

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FAQs on GCF of Fractions of 636/643, 8734/9494

1. What is the HCF of 636,8734?

The HCF of 636,8734 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 636/643, 8734/9494?

Answer: GCF of Numerators as per given numbers 636/643, 8734/9494 is

GCF of Numerators i.e. for 636,8734 is 2

LCM of denominators i.e. for 643,9494 is 6104642.

Thus, GCF of Fractions is 2/6104642.Finally, GCF of Fractions for 636/643, 8734/9494 is 2/6104642.