How to Find GCF of 442/656, 9643/5016?

GCF of 442/656, 9643/5016

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 442/656, 9643/5016 i.e 1/411312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 442/656, 9643/5016.

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 442/656,9643/5016?

Given fractions are 442/656,9643/5016

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 442/656,9643/5016, numerators are 442,9643

Denominators are 656,5016

The GCF of 442,9643 is 1 .

LCM of 656,5016 is 411312.

The greatest common factor of 442/656,9643/5016 = [GCF of 442,9643]/[LCM of 656,5016]= 1/411312

Therefore, the GCF of 442/656,9643/5016 is 1/411312.

Greatest Common Factor of 442,9643

To find the highest common factor of 442,9643, we have to find the factors of both numbers and list the highest common factor.

The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442

The factors of 9643 are 1, 9643

The HCF of 442,9643 is 1.

Lets's calculate GCF of 442,9643

Greatest Common Factor (GCF) of 442,9643 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 442,9643 By Matching Biggest Common Factor Method

Now, list down the factors of 442

1,2,13,17,26,34,221,442

Now, list down the factors of 9643

1,9643

Greatest Common Factor

We found the factors 442,9643 . The biggest common factor number is the GCF number.
So the greatest common factor 442,9643 is 1.

Lets's calculate LCM of 656,5016

Lowest Common Multiple of 656,5016 using Common Division

2	656, 5016
2	328, 2508
2	164, 1254
	82, 627

∴ So the LCM of the given numbers is 2 x 2 x 2 x 82 x 627 = 411312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/411312

Therefore, the GCF of Fractions 442/656,9643/5016 is 1/411312

Least Common Multiple of 656,5016 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 656,5016 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,5016) = 8

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

GCF(656,5016) x common factors =8 x 1 = 8

LCM(656,5016) = ( 656 × 5016 ) / 8

LCM(656,5016) = 3290496 / 8

LCM(656,5016) = 411312

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FAQs on GCF of Fractions of 442/656, 9643/5016

1. What is the HCF of 442,9643?

The HCF of 442,9643 is 1

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 442/656, 9643/5016?

Answer: GCF of Numerators as per given numbers 442/656, 9643/5016 is

GCF of Numerators i.e. for 442,9643 is 1

LCM of denominators i.e. for 656,5016 is 411312.

Thus, GCF of Fractions is 1/411312.Finally, GCF of Fractions for 442/656, 9643/5016 is 1/411312.