Greatest Common Factor of 7980/238, 6105/5041

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7980/238, 6105/5041

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 7980/238,6105/5041

Given fractions are 7980/238,6105/5041

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 7980,6105

Greatest Common Factor of Numerators i.e. GCF of 7980,6105 is 15 .

LCM of Denominators means LCM of 238,5041 as per the given fractions.

LCM of 238,5041 is 1199758 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7980,6105

GCF of Fractions 7980/238,6105/5041 is 15/1199758

3 7980, 6105
5 2660, 2035
532, 407

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 7980,6105 By Matching Biggest Common Factor Method

Greatest Common Factor of 7980,6105 By Matching Biggest Common Factor Method

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

Factors of 6105

List of positive integer factors of 6105 that divides 6105 without a remainder.

1,3,5,11,15,33,37,55,111,165,185,407,555,1221,2035,6105

Greatest Common Factor

We found the factors 7980,6105 . The biggest common factor number is the GCF number.
So the greatest common factor 7980,6105 is 15.

Lets's calculate LCM of 238,5041

Given numbers has no common factors except 1. So, there LCM is their product i.e 1199758

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/1199758

Therefore, the GCF of Fractions 7980/238,6105/5041 is 15/1199758

Least Common Multiple of 238,5041 with GCF Formula

Least Common Multiple of 238,5041 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 238,5041 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,5041) = 1

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

GCF(238,5041) x common factors =1 x 1 = 1

LCM(238,5041) = ( 238 × 5041 ) / 1

LCM(238,5041) = 1199758 / 1

LCM(238,5041) = 1199758


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 7980/238, 6105/5041

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 7980/238, 6105/5041?

Answer: GCF of Numerators as per given numbers 7980/238, 6105/5041 is

GCF of Numerators i.e. for 7980,6105 is 15

LCM of denominators i.e. for 238,5041 is 1199758.

Thus, GCF of Fractions is 15/1199758.Finally, GCF of Fractions for 7980/238, 6105/5041 is 15/1199758.