Greatest Common Factor of 347/3900, 694/5892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 347/3900, 694/5892

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 347/3900,694/5892

Given fractions are 347/3900,694/5892

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 347,694

Greatest Common Factor of Numerators i.e. GCF of 347,694 is 347 .

LCM of Denominators means LCM of 3900,5892 as per the given fractions.

LCM of 3900,5892 is 1914900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 347,694

GCF of Fractions 347/3900,694/5892 is 347/1914900

347 347, 694
1, 2

∴ So the GCF of the given numbers is 347 = 347

Greatest Common Factor of 347,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 347,694 By Matching Biggest Common Factor Method

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 347,694 . The biggest common factor number is the GCF number.
So the greatest common factor 347,694 is 347.

Lets's calculate LCM of 3900,5892

2 3900, 5892
2 1950, 2946
3 975, 1473
325, 491

∴ So the LCM of the given numbers is 2 x 2 x 3 x 325 x 491 = 1914900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 347/1914900

Therefore, the GCF of Fractions 347/3900,694/5892 is 347/1914900

Least Common Multiple of 3900,5892 with GCF Formula

Least Common Multiple of 3900,5892 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 3900,5892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3900,5892) = 12

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

GCF(3900,5892) x common factors =12 x 1 = 12

LCM(3900,5892) = ( 3900 × 5892 ) / 12

LCM(3900,5892) = 22978800 / 12

LCM(3900,5892) = 1914900


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 347/3900, 694/5892

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 347/3900, 694/5892?

Answer: GCF of Numerators as per given numbers 347/3900, 694/5892 is

GCF of Numerators i.e. for 347,694 is 347

LCM of denominators i.e. for 3900,5892 is 1914900.

Thus, GCF of Fractions is 347/1914900.Finally, GCF of Fractions for 347/3900, 694/5892 is 347/1914900.