Greatest Common Factor of 850/704, 3927/3626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 850/704, 3927/3626

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 850/704,3927/3626

Given fractions are 850/704,3927/3626

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 850,3927

Greatest Common Factor of Numerators i.e. GCF of 850,3927 is 17 .

LCM of Denominators means LCM of 704,3626 as per the given fractions.

LCM of 704,3626 is 1276352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 850,3927

GCF of Fractions 850/704,3927/3626 is 17/1276352

17 850, 3927
50, 231

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 850,3927 By Matching Biggest Common Factor Method

Greatest Common Factor of 850,3927 By Matching Biggest Common Factor Method

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 3927

List of positive integer factors of 3927 that divides 3927 without a remainder.

1,3,7,11,17,21,33,51,77,119,187,231,357,561,1309,3927

Greatest Common Factor

We found the factors 850,3927 . The biggest common factor number is the GCF number.
So the greatest common factor 850,3927 is 17.

Lets's calculate LCM of 704,3626

2 704, 3626
352, 1813

∴ So the LCM of the given numbers is 2 x 352 x 1813 = 1276352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/1276352

Therefore, the GCF of Fractions 850/704,3927/3626 is 17/1276352

Least Common Multiple of 704,3626 with GCF Formula

Least Common Multiple of 704,3626 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 704,3626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,3626) = 2

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

GCF(704,3626) x common factors =2 x 1 = 2

LCM(704,3626) = ( 704 × 3626 ) / 2

LCM(704,3626) = 2552704 / 2

LCM(704,3626) = 1276352


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 850/704, 3927/3626

1. 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.

2. What is the GCF of Fractions for 850/704, 3927/3626?

Answer: GCF of Numerators as per given numbers 850/704, 3927/3626 is

GCF of Numerators i.e. for 850,3927 is 17

LCM of denominators i.e. for 704,3626 is 1276352.

Thus, GCF of Fractions is 17/1276352.Finally, GCF of Fractions for 850/704, 3927/3626 is 17/1276352.