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GCF of 532/819, 3356/676

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 532/819, 3356/676 i.e 4/42588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 532/819, 3356/676.

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 532/819,3356/676?

Given fractions are 532/819,3356/676

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 532/819,3356/676, numerators are 532,3356

Denominators are 819,676

The GCF of 532,3356 is 4 .

LCM of 819,676 is 42588.

The greatest common factor of 532/819,3356/676 = [GCF of 532,3356]/[LCM of 819,676]= 4/42588

Therefore, the GCF of 532/819,3356/676 is 4/42588.

Greatest Common Factor of 532,3356

To find the highest common factor of 532,3356, we have to find the factors of both numbers and list the highest common factor.

The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

The factors of 3356 are 1, 2, 4, 839, 1678, 3356

The HCF of 532,3356 is 4.

Lets's calculate GCF of 532,3356

Greatest Common Factor (GCF) of 532,3356 By Common Division

2 532, 3356
2 266, 1678
133, 839

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 532,3356 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,3356 By Matching Biggest Common Factor Method

Now, list down the factors of 532

:

1,2,4,7,14,19,28,38,76,133,266,532

Now, list down the factors of 3356

:

1,2,4,839,1678,3356

Greatest Common Factor

We found the factors 532,3356 . The biggest common factor number is the GCF number.
So the greatest common factor 532,3356 is 4.

Lets's calculate LCM of 819,676

Lowest Common Multiple of 819,676 using Common Division

13 819, 676
63, 52

∴ So the LCM of the given numbers is 13 x 63 x 52 = 42588

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/42588

Therefore, the GCF of Fractions 532/819,3356/676 is 4/42588

Least Common Multiple of 819,676 with GCF Formula

Least Common Multiple of 819,676 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 819,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(819,676) = 13

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

GCF(819,676) x common factors =13 x 1 = 13

LCM(819,676) = ( 819 × 676 ) / 13

LCM(819,676) = 553644 / 13

LCM(819,676) = 42588


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FAQs on GCF of Fractions of 532/819, 3356/676

1. What is the HCF of 532,3356?

The HCF of 532,3356 is 4

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 532/819, 3356/676?

Answer: GCF of Numerators as per given numbers 532/819, 3356/676 is

GCF of Numerators i.e. for 532,3356 is 4

LCM of denominators i.e. for 819,676 is 42588.

Thus, GCF of Fractions is 4/42588.Finally, GCF of Fractions for 532/819, 3356/676 is 4/42588.