Greatest Common Factor of 926/612, 6270/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 926/612, 6270/114

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 926/612,6270/114

Given fractions are 926/612,6270/114

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 926,6270

Greatest Common Factor of Numerators i.e. GCF of 926,6270 is 2 .

LCM of Denominators means LCM of 612,114 as per the given fractions.

LCM of 612,114 is 11628 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 926,6270

GCF of Fractions 926/612,6270/114 is 2/11628

2 926, 6270
463, 3135

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

Greatest Common Factor of 926,6270 By Matching Biggest Common Factor Method

Greatest Common Factor of 926,6270 By Matching Biggest Common Factor Method

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Factors of 6270

List of positive integer factors of 6270 that divides 6270 without a remainder.

1,2,3,5,6,10,11,15,19,22,30,33,38,55,57,66,95,110,114,165,190,209,285,330,418,570,627,1045,1254,2090,3135,6270

Greatest Common Factor

We found the factors 926,6270 . The biggest common factor number is the GCF number.
So the greatest common factor 926,6270 is 2.

Lets's calculate LCM of 612,114

2 612, 114
3 306, 57
102, 19

∴ So the LCM of the given numbers is 2 x 3 x 102 x 19 = 11628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11628

Therefore, the GCF of Fractions 926/612,6270/114 is 2/11628

Least Common Multiple of 612,114 with GCF Formula

Least Common Multiple of 612,114 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 612,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(612,114) = 6

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

GCF(612,114) x common factors =6 x 1 = 6

LCM(612,114) = ( 612 × 114 ) / 6

LCM(612,114) = 69768 / 6

LCM(612,114) = 11628


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 926/612, 6270/114

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 926/612, 6270/114?

Answer: GCF of Numerators as per given numbers 926/612, 6270/114 is

GCF of Numerators i.e. for 926,6270 is 2

LCM of denominators i.e. for 612,114 is 11628.

Thus, GCF of Fractions is 2/11628.Finally, GCF of Fractions for 926/612, 6270/114 is 2/11628.