Greatest Common Factor of 6708/370, 8084/757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6708/370, 8084/757

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 6708/370,8084/757

Given fractions are 6708/370,8084/757

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 6708,8084

Greatest Common Factor of Numerators i.e. GCF of 6708,8084 is 172 .

LCM of Denominators means LCM of 370,757 as per the given fractions.

LCM of 370,757 is 280090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6708,8084

GCF of Fractions 6708/370,8084/757 is 172/280090

2 6708, 8084
2 3354, 4042
43 1677, 2021
39, 47

∴ So the GCF of the given numbers is 2 x 2 x 43 = 172

Greatest Common Factor of 6708,8084 By Matching Biggest Common Factor Method

Greatest Common Factor of 6708,8084 By Matching Biggest Common Factor Method

Factors of 6708

List of positive integer factors of 6708 that divides 6708 without a remainder.

1,2,3,4,6,12,13,26,39,43,52,78,86,129,156,172,258,516,559,1118,1677,2236,3354,6708

Factors of 8084

List of positive integer factors of 8084 that divides 8084 without a remainder.

1,2,4,43,47,86,94,172,188,2021,4042,8084

Greatest Common Factor

We found the factors 6708,8084 . The biggest common factor number is the GCF number.
So the greatest common factor 6708,8084 is 172.

Lets's calculate LCM of 370,757

Given numbers has no common factors except 1. So, there LCM is their product i.e 280090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 172/280090

Therefore, the GCF of Fractions 6708/370,8084/757 is 172/280090

Least Common Multiple of 370,757 with GCF Formula

Least Common Multiple of 370,757 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 370,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(370,757) = 1

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

GCF(370,757) x common factors =1 x 1 = 1

LCM(370,757) = ( 370 × 757 ) / 1

LCM(370,757) = 280090 / 1

LCM(370,757) = 280090


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 6708/370, 8084/757

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 6708/370, 8084/757?

Answer: GCF of Numerators as per given numbers 6708/370, 8084/757 is

GCF of Numerators i.e. for 6708,8084 is 172

LCM of denominators i.e. for 370,757 is 280090.

Thus, GCF of Fractions is 172/280090.Finally, GCF of Fractions for 6708/370, 8084/757 is 172/280090.