Greatest Common Factor of 416/956, 7980/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 416/956, 7980/106

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 416/956,7980/106

Given fractions are 416/956,7980/106

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 416,7980

Greatest Common Factor of Numerators i.e. GCF of 416,7980 is 4 .

LCM of Denominators means LCM of 956,106 as per the given fractions.

LCM of 956,106 is 50668 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 416,7980

GCF of Fractions 416/956,7980/106 is 4/50668

2 416, 7980
2 208, 3990
104, 1995

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 416,7980 By Matching Biggest Common Factor Method

Greatest Common Factor of 416,7980 By Matching Biggest Common Factor Method

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 7980

List of positive integer factors of 7980 that divides 7980 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,19,20,21,28,30,35,38,42,57,60,70,76,84,95,105,114,133,140,190,210,228,266,285,380,399,420,532,570,665,798,1140,1330,1596,1995,2660,3990,7980

Greatest Common Factor

We found the factors 416,7980 . The biggest common factor number is the GCF number.
So the greatest common factor 416,7980 is 4.

Lets's calculate LCM of 956,106

2 956, 106
478, 53

∴ So the LCM of the given numbers is 2 x 478 x 53 = 50668

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/50668

Therefore, the GCF of Fractions 416/956,7980/106 is 4/50668

Least Common Multiple of 956,106 with GCF Formula

Least Common Multiple of 956,106 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 956,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(956,106) = 2

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

GCF(956,106) x common factors =2 x 1 = 2

LCM(956,106) = ( 956 × 106 ) / 2

LCM(956,106) = 101336 / 2

LCM(956,106) = 50668


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 416/956, 7980/106

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 416/956, 7980/106?

Answer: GCF of Numerators as per given numbers 416/956, 7980/106 is

GCF of Numerators i.e. for 416,7980 is 4

LCM of denominators i.e. for 956,106 is 50668.

Thus, GCF of Fractions is 4/50668.Finally, GCF of Fractions for 416/956, 7980/106 is 4/50668.