Greatest Common Factor of 4628/369, 7980/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4628/369, 7980/840

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 4628/369,7980/840

Given fractions are 4628/369,7980/840

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 4628,7980

Greatest Common Factor of Numerators i.e. GCF of 4628,7980 is 4 .

LCM of Denominators means LCM of 369,840 as per the given fractions.

LCM of 369,840 is 103320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4628,7980

GCF of Fractions 4628/369,7980/840 is 4/103320

2 4628, 7980
2 2314, 3990
1157, 1995

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

Greatest Common Factor of 4628,7980 By Matching Biggest Common Factor Method

Greatest Common Factor of 4628,7980 By Matching Biggest Common Factor Method

Factors of 4628

List of positive integer factors of 4628 that divides 4628 without a remainder.

1,2,4,13,26,52,89,178,356,1157,2314,4628

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 4628,7980 . The biggest common factor number is the GCF number.
So the greatest common factor 4628,7980 is 4.

Lets's calculate LCM of 369,840

3 369, 840
123, 280

∴ So the LCM of the given numbers is 3 x 123 x 280 = 103320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/103320

Therefore, the GCF of Fractions 4628/369,7980/840 is 4/103320

Least Common Multiple of 369,840 with GCF Formula

Least Common Multiple of 369,840 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 369,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,840) = 3

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

GCF(369,840) x common factors =3 x 1 = 3

LCM(369,840) = ( 369 × 840 ) / 3

LCM(369,840) = 309960 / 3

LCM(369,840) = 103320


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 4628/369, 7980/840

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 4628/369, 7980/840?

Answer: GCF of Numerators as per given numbers 4628/369, 7980/840 is

GCF of Numerators i.e. for 4628,7980 is 4

LCM of denominators i.e. for 369,840 is 103320.

Thus, GCF of Fractions is 4/103320.Finally, GCF of Fractions for 4628/369, 7980/840 is 4/103320.