How to Find GCF of 1277/666, 8531/592?

GCF of 1277/666, 8531/592

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 1277/666, 8531/592 i.e 1/5328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1277/666, 8531/592.

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 1277/666,8531/592?

Given fractions are 1277/666,8531/592

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 1277/666,8531/592, numerators are 1277,8531

Denominators are 666,592

The GCF of 1277,8531 is 1 .

LCM of 666,592 is 5328.

The greatest common factor of 1277/666,8531/592 = [GCF of 1277,8531]/[LCM of 666,592]= 1/5328

Therefore, the GCF of 1277/666,8531/592 is 1/5328.

Greatest Common Factor of 1277,8531

To find the highest common factor of 1277,8531, we have to find the factors of both numbers and list the highest common factor.

The factors of 1277 are 1, 1277

The factors of 8531 are 1, 19, 449, 8531

The HCF of 1277,8531 is 1.

Lets's calculate GCF of 1277,8531

Greatest Common Factor (GCF) of 1277,8531 By Common Division

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

Greatest Common Factor of 1277,8531 By Matching Biggest Common Factor Method

Now, list down the factors of 1277

1,1277

Now, list down the factors of 8531

1,19,449,8531

Greatest Common Factor

We found the factors 1277,8531 . The biggest common factor number is the GCF number.
So the greatest common factor 1277,8531 is 1.

Lets's calculate LCM of 666,592

Lowest Common Multiple of 666,592 using Common Division

2	666, 592
37	333, 296
	9, 8

∴ So the LCM of the given numbers is 2 x 37 x 9 x 8 = 5328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5328

Therefore, the GCF of Fractions 1277/666,8531/592 is 1/5328

Least Common Multiple of 666,592 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 666,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,592) = 74

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

GCF(666,592) x common factors =74 x 1 = 74

LCM(666,592) = ( 666 × 592 ) / 74

LCM(666,592) = 394272 / 74

LCM(666,592) = 5328

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FAQs on GCF of Fractions of 1277/666, 8531/592

1. What is the HCF of 1277,8531?

The HCF of 1277,8531 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 1277/666, 8531/592?

Answer: GCF of Numerators as per given numbers 1277/666, 8531/592 is

GCF of Numerators i.e. for 1277,8531 is 1

LCM of denominators i.e. for 666,592 is 5328.

Thus, GCF of Fractions is 1/5328.Finally, GCF of Fractions for 1277/666, 8531/592 is 1/5328.