Greatest Common Factor of 7410/654, 6832/1651

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7410/654, 6832/1651

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 7410/654,6832/1651

Given fractions are 7410/654,6832/1651

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 7410,6832

Greatest Common Factor of Numerators i.e. GCF of 7410,6832 is 2 .

LCM of Denominators means LCM of 654,1651 as per the given fractions.

LCM of 654,1651 is 1079754 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7410,6832

GCF of Fractions 7410/654,6832/1651 is 2/1079754

2 7410, 6832
3705, 3416

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

Greatest Common Factor of 7410,6832 By Matching Biggest Common Factor Method

Greatest Common Factor of 7410,6832 By Matching Biggest Common Factor Method

Factors of 7410

List of positive integer factors of 7410 that divides 7410 without a remainder.

1,2,3,5,6,10,13,15,19,26,30,38,39,57,65,78,95,114,130,190,195,247,285,390,494,570,741,1235,1482,2470,3705,7410

Factors of 6832

List of positive integer factors of 6832 that divides 6832 without a remainder.

1,2,4,7,8,14,16,28,56,61,112,122,244,427,488,854,976,1708,3416,6832

Greatest Common Factor

We found the factors 7410,6832 . The biggest common factor number is the GCF number.
So the greatest common factor 7410,6832 is 2.

Lets's calculate LCM of 654,1651

Given numbers has no common factors except 1. So, there LCM is their product i.e 1079754

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1079754

Therefore, the GCF of Fractions 7410/654,6832/1651 is 2/1079754

Least Common Multiple of 654,1651 with GCF Formula

Least Common Multiple of 654,1651 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 654,1651 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(654,1651) = 1

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

GCF(654,1651) x common factors =1 x 1 = 1

LCM(654,1651) = ( 654 × 1651 ) / 1

LCM(654,1651) = 1079754 / 1

LCM(654,1651) = 1079754


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 7410/654, 6832/1651

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 7410/654, 6832/1651?

Answer: GCF of Numerators as per given numbers 7410/654, 6832/1651 is

GCF of Numerators i.e. for 7410,6832 is 2

LCM of denominators i.e. for 654,1651 is 1079754.

Thus, GCF of Fractions is 2/1079754.Finally, GCF of Fractions for 7410/654, 6832/1651 is 2/1079754.