How to Find GCF of 2621/688, 1257/8992?

GCF of 2621/688, 1257/8992

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 2621/688, 1257/8992 i.e 1/386656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2621/688, 1257/8992.

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 2621/688,1257/8992?

Given fractions are 2621/688,1257/8992

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 2621/688,1257/8992, numerators are 2621,1257

Denominators are 688,8992

The GCF of 2621,1257 is 1 .

LCM of 688,8992 is 386656.

The greatest common factor of 2621/688,1257/8992 = [GCF of 2621,1257]/[LCM of 688,8992]= 1/386656

Therefore, the GCF of 2621/688,1257/8992 is 1/386656.

Greatest Common Factor of 2621,1257

To find the highest common factor of 2621,1257, we have to find the factors of both numbers and list the highest common factor.

The factors of 2621 are 1, 2621

The factors of 1257 are 1, 3, 419, 1257

The HCF of 2621,1257 is 1.

Lets's calculate GCF of 2621,1257

Greatest Common Factor (GCF) of 2621,1257 By Common Division

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

Greatest Common Factor of 2621,1257 By Matching Biggest Common Factor Method

Now, list down the factors of 2621

1,2621

Now, list down the factors of 1257

1,3,419,1257

Greatest Common Factor

We found the factors 2621,1257 . The biggest common factor number is the GCF number.
So the greatest common factor 2621,1257 is 1.

Lets's calculate LCM of 688,8992

Lowest Common Multiple of 688,8992 using Common Division

2	688, 8992
2	344, 4496
2	172, 2248
2	86, 1124
	43, 562

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 43 x 562 = 386656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/386656

Therefore, the GCF of Fractions 2621/688,1257/8992 is 1/386656

Least Common Multiple of 688,8992 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 688,8992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,8992) = 16

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

GCF(688,8992) x common factors =16 x 1 = 16

LCM(688,8992) = ( 688 × 8992 ) / 16

LCM(688,8992) = 6186496 / 16

LCM(688,8992) = 386656

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FAQs on GCF of Fractions of 2621/688, 1257/8992

1. What is the HCF of 2621,1257?

The HCF of 2621,1257 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 2621/688, 1257/8992?

Answer: GCF of Numerators as per given numbers 2621/688, 1257/8992 is

GCF of Numerators i.e. for 2621,1257 is 1

LCM of denominators i.e. for 688,8992 is 386656.

Thus, GCF of Fractions is 1/386656.Finally, GCF of Fractions for 2621/688, 1257/8992 is 1/386656.