Greatest Common Factor of 940/48, 414/17, 922/84

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 940/48, 414/17, 922/84

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 940/48,414/17,922/84

Given fractions are 940/48,414/17,922/84

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 940,414,922

Greatest Common Factor of Numerators i.e. GCF of 940,414,922 is 2 .

LCM of Denominators means LCM of 48,17,84 as per the given fractions.

LCM of 48,17,84 is 5712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 940,414,922

GCF of Fractions 940/48,414/17,922/84 is 2/5712

2 940, 414, 922
470, 207, 461

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

Greatest Common Factor of 940,414,922 By Matching Biggest Common Factor Method

Greatest Common Factor of 940,414,922 By Matching Biggest Common Factor Method

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 922

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

1,2,461,922

Greatest Common Factor

We found the factors 940,414,922 . The biggest common factor number is the GCF number.
So the greatest common factor 940,414,922 is 2.

Lets's calculate LCM of 48,17,84

2 48, 17, 84
2 24, 17, 42
3 12, 17, 21
4, 17, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 17 x 7 = 5712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5712

Therefore, the GCF of Fractions 940/48,414/17,922/84 is 2/5712

Least Common Multiple of 48,17,84 with GCF Formula

Least Common Multiple of 48,17,84 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 48,17,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,17,84) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(48,17,84) x common factors =1 x 12 = 12

LCM(48,17,84) = ( 48 × 17 × 84 ) / 12

LCM(48,17,84) = 68544 / 12

LCM(48,17,84) = 5712


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 940/48, 414/17, 922/84

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 940/48, 414/17, 922/84?

Answer: GCF of Numerators as per given numbers 940/48, 414/17, 922/84 is

GCF of Numerators i.e. for 940,414,922 is 2

LCM of denominators i.e. for 48,17,84 is 5712.

Thus, GCF of Fractions is 2/5712.Finally, GCF of Fractions for 940/48, 414/17, 922/84 is 2/5712.