Greatest Common Factor of 69/238, 846/388, 138/993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 69/238, 846/388, 138/993

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 69/238,846/388,138/993

Given fractions are 69/238,846/388,138/993

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 69,846,138

Greatest Common Factor of Numerators i.e. GCF of 69,846,138 is 3 .

LCM of Denominators means LCM of 238,388,993 as per the given fractions.

LCM of 238,388,993 is 45848796 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,846,138

GCF of Fractions 69/238,846/388,138/993 is 3/45848796

3 69, 846, 138
23, 282, 46

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 69,846,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,846,138 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

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 69,846,138 . The biggest common factor number is the GCF number.
So the greatest common factor 69,846,138 is 3.


Lets's calculate LCM of 238,388,993

2 238, 388, 993
119, 194, 993

∴ So the LCM of the given numbers is 2 x 119 x 194 x 993 = 45848796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/45848796

Therefore, the GCF of Fractions 69/238,846/388,138/993 is 3/45848796

Least Common Multiple of 238,388,993 with GCF Formula

Least Common Multiple of 238,388,993 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 238,388,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,388,993) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(238,388,993) x common factors =1 x 2 = 2

LCM(238,388,993) = ( 238 × 388 × 993 ) / 2

LCM(238,388,993) = 91697592 / 2

LCM(238,388,993) = 45848796


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 69/238, 846/388, 138/993

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 69/238, 846/388, 138/993?

Answer: GCF of Numerators as per given numbers 69/238, 846/388, 138/993 is

GCF of Numerators i.e. for 69,846,138 is 3

LCM of denominators i.e. for 238,388,993 is 45848796.

Thus, GCF of Fractions is 3/45848796.Finally, GCF of Fractions for 69/238, 846/388, 138/993 is 3/45848796.