Greatest Common Factor of 780/442, 4836/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 780/442, 4836/106

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 780/442,4836/106

Given fractions are 780/442,4836/106

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 780,4836

Greatest Common Factor of Numerators i.e. GCF of 780,4836 is 156 .

LCM of Denominators means LCM of 442,106 as per the given fractions.

LCM of 442,106 is 23426 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 780,4836

GCF of Fractions 780/442,4836/106 is 156/23426

2 780, 4836
2 390, 2418
3 195, 1209
13 65, 403
5, 31

∴ So the GCF of the given numbers is 2 x 2 x 3 x 13 = 156

Greatest Common Factor of 780,4836 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,4836 By Matching Biggest Common Factor Method

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 4836

List of positive integer factors of 4836 that divides 4836 without a remainder.

1,2,3,4,6,12,13,26,31,39,52,62,78,93,124,156,186,372,403,806,1209,1612,2418,4836

Greatest Common Factor

We found the factors 780,4836 . The biggest common factor number is the GCF number.
So the greatest common factor 780,4836 is 156.

Lets's calculate LCM of 442,106

2 442, 106
221, 53

∴ So the LCM of the given numbers is 2 x 221 x 53 = 23426

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 156/23426

Therefore, the GCF of Fractions 780/442,4836/106 is 156/23426

Least Common Multiple of 442,106 with GCF Formula

Least Common Multiple of 442,106 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 442,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(442,106) = 2

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

GCF(442,106) x common factors =2 x 1 = 2

LCM(442,106) = ( 442 × 106 ) / 2

LCM(442,106) = 46852 / 2

LCM(442,106) = 23426


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 780/442, 4836/106

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 780/442, 4836/106?

Answer: GCF of Numerators as per given numbers 780/442, 4836/106 is

GCF of Numerators i.e. for 780,4836 is 156

LCM of denominators i.e. for 442,106 is 23426.

Thus, GCF of Fractions is 156/23426.Finally, GCF of Fractions for 780/442, 4836/106 is 156/23426.