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GCF of 5261/648, 6569/3410

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 5261/648, 6569/3410 i.e 1/1104840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5261/648, 6569/3410.

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 5261/648,6569/3410?

Given fractions are 5261/648,6569/3410

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 5261/648,6569/3410, numerators are 5261,6569

Denominators are 648,3410

The GCF of 5261,6569 is 1 .

LCM of 648,3410 is 1104840.

The greatest common factor of 5261/648,6569/3410 = [GCF of 5261,6569]/[LCM of 648,3410]= 1/1104840

Therefore, the GCF of 5261/648,6569/3410 is 1/1104840.

Greatest Common Factor of 5261,6569

To find the highest common factor of 5261,6569, we have to find the factors of both numbers and list the highest common factor.

The factors of 5261 are 1, 5261

The factors of 6569 are 1, 6569

The HCF of 5261,6569 is 1.

Lets's calculate GCF of 5261,6569

Greatest Common Factor (GCF) of 5261,6569 By Common Division

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

Greatest Common Factor of 5261,6569 By Matching Biggest Common Factor Method

Greatest Common Factor of 5261,6569 By Matching Biggest Common Factor Method

Now, list down the factors of 5261

:

1,5261

Now, list down the factors of 6569

:

1,6569

Greatest Common Factor

We found the factors 5261,6569 . The biggest common factor number is the GCF number.
So the greatest common factor 5261,6569 is 1.

Lets's calculate LCM of 648,3410

Lowest Common Multiple of 648,3410 using Common Division

2 648, 3410
324, 1705

∴ So the LCM of the given numbers is 2 x 324 x 1705 = 1104840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1104840

Therefore, the GCF of Fractions 5261/648,6569/3410 is 1/1104840

Least Common Multiple of 648,3410 with GCF Formula

Least Common Multiple of 648,3410 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 648,3410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,3410) = 2

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

GCF(648,3410) x common factors =2 x 1 = 2

LCM(648,3410) = ( 648 × 3410 ) / 2

LCM(648,3410) = 2209680 / 2

LCM(648,3410) = 1104840


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FAQs on GCF of Fractions of 5261/648, 6569/3410

1. What is the HCF of 5261,6569?

The HCF of 5261,6569 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 5261/648, 6569/3410?

Answer: GCF of Numerators as per given numbers 5261/648, 6569/3410 is

GCF of Numerators i.e. for 5261,6569 is 1

LCM of denominators i.e. for 648,3410 is 1104840.

Thus, GCF of Fractions is 1/1104840.Finally, GCF of Fractions for 5261/648, 6569/3410 is 1/1104840.