Greatest Common Factor of 740/63, 138/6804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 740/63, 138/6804

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 740/63,138/6804

Given fractions are 740/63,138/6804

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 740,138

Greatest Common Factor of Numerators i.e. GCF of 740,138 is 2 .

LCM of Denominators means LCM of 63,6804 as per the given fractions.

LCM of 63,6804 is 6804 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 740,138

GCF of Fractions 740/63,138/6804 is 2/6804

2 740, 138
370, 69

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

Greatest Common Factor of 740,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,138 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 740,138 . The biggest common factor number is the GCF number.
So the greatest common factor 740,138 is 2.


Lets's calculate LCM of 63,6804

3 63, 6804
3 21, 2268
7 7, 756
1, 108

∴ So the LCM of the given numbers is 3 x 3 x 7 x 1 x 108 = 6804

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6804

Therefore, the GCF of Fractions 740/63,138/6804 is 2/6804

Least Common Multiple of 63,6804 with GCF Formula

Least Common Multiple of 63,6804 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 63,6804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,6804) = 63

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

GCF(63,6804) x common factors =63 x 1 = 63

LCM(63,6804) = ( 63 × 6804 ) / 63

LCM(63,6804) = 428652 / 63

LCM(63,6804) = 6804


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 740/63, 138/6804

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 740/63, 138/6804?

Answer: GCF of Numerators as per given numbers 740/63, 138/6804 is

GCF of Numerators i.e. for 740,138 is 2

LCM of denominators i.e. for 63,6804 is 6804.

Thus, GCF of Fractions is 2/6804.Finally, GCF of Fractions for 740/63, 138/6804 is 2/6804.