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GCF of 261/502, 5968/654

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 261/502, 5968/654 i.e 1/164154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 261/502, 5968/654.

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 261/502,5968/654?

Given fractions are 261/502,5968/654

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 261/502,5968/654, numerators are 261,5968

Denominators are 502,654

The GCF of 261,5968 is 1 .

LCM of 502,654 is 164154.

The greatest common factor of 261/502,5968/654 = [GCF of 261,5968]/[LCM of 502,654]= 1/164154

Therefore, the GCF of 261/502,5968/654 is 1/164154.

Greatest Common Factor of 261,5968

To find the highest common factor of 261,5968, we have to find the factors of both numbers and list the highest common factor.

The factors of 261 are 1, 3, 9, 29, 87, 261

The factors of 5968 are 1, 2, 4, 8, 16, 373, 746, 1492, 2984, 5968

The HCF of 261,5968 is 1.

Lets's calculate GCF of 261,5968

Greatest Common Factor (GCF) of 261,5968 By Common Division

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

Greatest Common Factor of 261,5968 By Matching Biggest Common Factor Method

Greatest Common Factor of 261,5968 By Matching Biggest Common Factor Method

Now, list down the factors of 261

:

1,3,9,29,87,261

Now, list down the factors of 5968

:

1,2,4,8,16,373,746,1492,2984,5968

Greatest Common Factor

We found the factors 261,5968 . The biggest common factor number is the GCF number.
So the greatest common factor 261,5968 is 1.

Lets's calculate LCM of 502,654

Lowest Common Multiple of 502,654 using Common Division

2 502, 654
251, 327

∴ So the LCM of the given numbers is 2 x 251 x 327 = 164154

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164154

Therefore, the GCF of Fractions 261/502,5968/654 is 1/164154

Least Common Multiple of 502,654 with GCF Formula

Least Common Multiple of 502,654 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 502,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,654) = 2

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

GCF(502,654) x common factors =2 x 1 = 2

LCM(502,654) = ( 502 × 654 ) / 2

LCM(502,654) = 328308 / 2

LCM(502,654) = 164154


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FAQs on GCF of Fractions of 261/502, 5968/654

1. What is the HCF of 261,5968?

The HCF of 261,5968 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 261/502, 5968/654?

Answer: GCF of Numerators as per given numbers 261/502, 5968/654 is

GCF of Numerators i.e. for 261,5968 is 1

LCM of denominators i.e. for 502,654 is 164154.

Thus, GCF of Fractions is 1/164154.Finally, GCF of Fractions for 261/502, 5968/654 is 1/164154.