Greatest Common Factor of 7650/251, 1026/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7650/251, 1026/168

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 7650/251,1026/168

Given fractions are 7650/251,1026/168

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 7650,1026

Greatest Common Factor of Numerators i.e. GCF of 7650,1026 is 18 .

LCM of Denominators means LCM of 251,168 as per the given fractions.

LCM of 251,168 is 42168 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7650,1026

GCF of Fractions 7650/251,1026/168 is 18/42168

2 7650, 1026
3 3825, 513
3 1275, 171
425, 57

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 7650,1026 By Matching Biggest Common Factor Method

Greatest Common Factor of 7650,1026 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 1026

List of positive integer factors of 1026 that divides 1026 without a remainder.

1,2,3,6,9,18,19,27,38,54,57,114,171,342,513,1026

Greatest Common Factor

We found the factors 7650,1026 . The biggest common factor number is the GCF number.
So the greatest common factor 7650,1026 is 18.

Lets's calculate LCM of 251,168

Given numbers has no common factors except 1. So, there LCM is their product i.e 42168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/42168

Therefore, the GCF of Fractions 7650/251,1026/168 is 18/42168

Least Common Multiple of 251,168 with GCF Formula

Least Common Multiple of 251,168 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 251,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(251,168) = 1

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

GCF(251,168) x common factors =1 x 1 = 1

LCM(251,168) = ( 251 × 168 ) / 1

LCM(251,168) = 42168 / 1

LCM(251,168) = 42168


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 7650/251, 1026/168

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 7650/251, 1026/168?

Answer: GCF of Numerators as per given numbers 7650/251, 1026/168 is

GCF of Numerators i.e. for 7650,1026 is 18

LCM of denominators i.e. for 251,168 is 42168.

Thus, GCF of Fractions is 18/42168.Finally, GCF of Fractions for 7650/251, 1026/168 is 18/42168.