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GCF of 259/516, 1356/812

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 259/516, 1356/812 i.e 1/104748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 259/516, 1356/812.

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 259/516,1356/812?

Given fractions are 259/516,1356/812

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 259/516,1356/812, numerators are 259,1356

Denominators are 516,812

The GCF of 259,1356 is 1 .

LCM of 516,812 is 104748.

The greatest common factor of 259/516,1356/812 = [GCF of 259,1356]/[LCM of 516,812]= 1/104748

Therefore, the GCF of 259/516,1356/812 is 1/104748.

Greatest Common Factor of 259,1356

To find the highest common factor of 259,1356, we have to find the factors of both numbers and list the highest common factor.

The factors of 259 are 1, 7, 37, 259

The factors of 1356 are 1, 2, 3, 4, 6, 12, 113, 226, 339, 452, 678, 1356

The HCF of 259,1356 is 1.

Lets's calculate GCF of 259,1356

Greatest Common Factor (GCF) of 259,1356 By Common Division

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

Greatest Common Factor of 259,1356 By Matching Biggest Common Factor Method

Greatest Common Factor of 259,1356 By Matching Biggest Common Factor Method

Now, list down the factors of 259

:

1,7,37,259

Now, list down the factors of 1356

:

1,2,3,4,6,12,113,226,339,452,678,1356

Greatest Common Factor

We found the factors 259,1356 . The biggest common factor number is the GCF number.
So the greatest common factor 259,1356 is 1.

Lets's calculate LCM of 516,812

Lowest Common Multiple of 516,812 using Common Division

2 516, 812
2 258, 406
129, 203

∴ So the LCM of the given numbers is 2 x 2 x 129 x 203 = 104748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104748

Therefore, the GCF of Fractions 259/516,1356/812 is 1/104748

Least Common Multiple of 516,812 with GCF Formula

Least Common Multiple of 516,812 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 516,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,812) = 4

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

GCF(516,812) x common factors =4 x 1 = 4

LCM(516,812) = ( 516 × 812 ) / 4

LCM(516,812) = 418992 / 4

LCM(516,812) = 104748


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FAQs on GCF of Fractions of 259/516, 1356/812

1. What is the HCF of 259,1356?

The HCF of 259,1356 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 259/516, 1356/812?

Answer: GCF of Numerators as per given numbers 259/516, 1356/812 is

GCF of Numerators i.e. for 259,1356 is 1

LCM of denominators i.e. for 516,812 is 104748.

Thus, GCF of Fractions is 1/104748.Finally, GCF of Fractions for 259/516, 1356/812 is 1/104748.