Greatest Common Factor of 69/94, 78/848, 122/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/94, 78/848, 122/412

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 69/94,78/848,122/412

Given fractions are 69/94,78/848,122/412

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 69,78,122

Greatest Common Factor of Numerators i.e. GCF of 69,78,122 is 1 .

LCM of Denominators means LCM of 94,848,412 as per the given fractions.

LCM of 94,848,412 is 4105168 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,78,122

GCF of Fractions 69/94,78/848,122/412 is 1/4105168

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 69,78,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,78,122 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 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 69,78,122 . The biggest common factor number is the GCF number.
So the greatest common factor 69,78,122 is 1.

Lets's calculate LCM of 94,848,412

2 94, 848, 412
2 47, 424, 206
47, 212, 103

∴ So the LCM of the given numbers is 2 x 2 x 47 x 212 x 103 = 4105168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4105168

Therefore, the GCF of Fractions 69/94,78/848,122/412 is 1/4105168

Least Common Multiple of 94,848,412 with GCF Formula

Least Common Multiple of 94,848,412 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 94,848,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,848,412) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(94,848,412) x common factors =2 x 4 = 8

LCM(94,848,412) = ( 94 × 848 × 412 ) / 8

LCM(94,848,412) = 32841344 / 8

LCM(94,848,412) = 4105168


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 69/94, 78/848, 122/412

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 69/94, 78/848, 122/412?

Answer: GCF of Numerators as per given numbers 69/94, 78/848, 122/412 is

GCF of Numerators i.e. for 69,78,122 is 1

LCM of denominators i.e. for 94,848,412 is 4105168.

Thus, GCF of Fractions is 1/4105168.Finally, GCF of Fractions for 69/94, 78/848, 122/412 is 1/4105168.