Greatest Common Factor of 7650/682, 8034/1647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7650/682, 8034/1647

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 7650/682,8034/1647

Given fractions are 7650/682,8034/1647

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 7650,8034

Greatest Common Factor of Numerators i.e. GCF of 7650,8034 is 6 .

LCM of Denominators means LCM of 682,1647 as per the given fractions.

LCM of 682,1647 is 1123254 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7650,8034

GCF of Fractions 7650/682,8034/1647 is 6/1123254

2 7650, 8034
3 3825, 4017
1275, 1339

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 7650,8034 By Matching Biggest Common Factor Method

Greatest Common Factor of 7650,8034 By Matching Biggest Common Factor Method

Factors of 7650

List of positive integer factors of 7650 that divides 7650 without a remainder.

1,2,3,5,6,9,10,15,17,18,25,30,34,45,50,51,75,85,90,102,150,153,170,225,255,306,425,450,510,765,850,1275,1530,2550,3825,7650

Factors of 8034

List of positive integer factors of 8034 that divides 8034 without a remainder.

1,2,3,6,13,26,39,78,103,206,309,618,1339,2678,4017,8034

Greatest Common Factor

We found the factors 7650,8034 . The biggest common factor number is the GCF number.
So the greatest common factor 7650,8034 is 6.

Lets's calculate LCM of 682,1647

Given numbers has no common factors except 1. So, there LCM is their product i.e 1123254

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1123254

Therefore, the GCF of Fractions 7650/682,8034/1647 is 6/1123254

Least Common Multiple of 682,1647 with GCF Formula

Least Common Multiple of 682,1647 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 682,1647 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,1647) = 1

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

GCF(682,1647) x common factors =1 x 1 = 1

LCM(682,1647) = ( 682 × 1647 ) / 1

LCM(682,1647) = 1123254 / 1

LCM(682,1647) = 1123254


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 7650/682, 8034/1647

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 7650/682, 8034/1647?

Answer: GCF of Numerators as per given numbers 7650/682, 8034/1647 is

GCF of Numerators i.e. for 7650,8034 is 6

LCM of denominators i.e. for 682,1647 is 1123254.

Thus, GCF of Fractions is 6/1123254.Finally, GCF of Fractions for 7650/682, 8034/1647 is 6/1123254.