Greatest Common Factor of 922/40, 138/66, 690/86

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 922/40, 138/66, 690/86

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 922/40,138/66,690/86

Given fractions are 922/40,138/66,690/86

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 922,138,690

Greatest Common Factor of Numerators i.e. GCF of 922,138,690 is 2 .

LCM of Denominators means LCM of 40,66,86 as per the given fractions.

LCM of 40,66,86 is 56760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 922,138,690

GCF of Fractions 922/40,138/66,690/86 is 2/56760

2 922, 138, 690
461, 69, 345

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

Greatest Common Factor of 922,138,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 922,138,690 By Matching Biggest Common Factor Method

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Factors of 138

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

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

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 922,138,690 . The biggest common factor number is the GCF number.
So the greatest common factor 922,138,690 is 2.

Lets's calculate LCM of 40,66,86

2 40, 66, 86
20, 33, 43

∴ So the LCM of the given numbers is 2 x 20 x 33 x 43 = 56760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/56760

Therefore, the GCF of Fractions 922/40,138/66,690/86 is 2/56760

Least Common Multiple of 40,66,86 with GCF Formula

Least Common Multiple of 40,66,86 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 40,66,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,66,86) = 2

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

GCF(40,66,86) x common factors =2 x 2 = 4

LCM(40,66,86) = ( 40 × 66 × 86 ) / 4

LCM(40,66,86) = 227040 / 4

LCM(40,66,86) = 56760


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 922/40, 138/66, 690/86

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 922/40, 138/66, 690/86?

Answer: GCF of Numerators as per given numbers 922/40, 138/66, 690/86 is

GCF of Numerators i.e. for 922,138,690 is 2

LCM of denominators i.e. for 40,66,86 is 56760.

Thus, GCF of Fractions is 2/56760.Finally, GCF of Fractions for 922/40, 138/66, 690/86 is 2/56760.