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GCF of 5311/856, 6469/5962

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 5311/856, 6469/5962 i.e 1/2551736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5311/856, 6469/5962.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 5311/856,6469/5962?

Given fractions are 5311/856,6469/5962

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 5311/856,6469/5962, numerators are 5311,6469

Denominators are 856,5962

The GCF of 5311,6469 is 1 .

LCM of 856,5962 is 2551736.

The greatest common factor of 5311/856,6469/5962 = [GCF of 5311,6469]/[LCM of 856,5962]= 1/2551736

Therefore, the GCF of 5311/856,6469/5962 is 1/2551736.

Greatest Common Factor of 5311,6469

To find the highest common factor of 5311,6469, we have to find the factors of both numbers and list the highest common factor.

The factors of 5311 are 1, 47, 113, 5311

The factors of 6469 are 1, 6469

The HCF of 5311,6469 is 1.

Lets's calculate GCF of 5311,6469

Greatest Common Factor (GCF) of 5311,6469 By Common Division

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

Greatest Common Factor of 5311,6469 By Matching Biggest Common Factor Method

Greatest Common Factor of 5311,6469 By Matching Biggest Common Factor Method

Now, list down the factors of 5311

:

1,47,113,5311

Now, list down the factors of 6469

:

1,6469

Greatest Common Factor

We found the factors 5311,6469 . The biggest common factor number is the GCF number.
So the greatest common factor 5311,6469 is 1.

Lets's calculate LCM of 856,5962

Lowest Common Multiple of 856,5962 using Common Division

2 856, 5962
428, 2981

∴ So the LCM of the given numbers is 2 x 428 x 2981 = 2551736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2551736

Therefore, the GCF of Fractions 5311/856,6469/5962 is 1/2551736

Least Common Multiple of 856,5962 with GCF Formula

Least Common Multiple of 856,5962 with GCF Formula

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

We need to calculate greatest common factor of 856,5962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(856,5962) = 2

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

GCF(856,5962) x common factors =2 x 1 = 2

LCM(856,5962) = ( 856 × 5962 ) / 2

LCM(856,5962) = 5103472 / 2

LCM(856,5962) = 2551736


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FAQs on GCF of Fractions of 5311/856, 6469/5962

1. What is the HCF of 5311,6469?

The HCF of 5311,6469 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 5311/856, 6469/5962?

Answer: GCF of Numerators as per given numbers 5311/856, 6469/5962 is

GCF of Numerators i.e. for 5311,6469 is 1

LCM of denominators i.e. for 856,5962 is 2551736.

Thus, GCF of Fractions is 1/2551736.Finally, GCF of Fractions for 5311/856, 6469/5962 is 1/2551736.