Greatest Common Factor of 7650/51, 1190/673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7650/51, 1190/673

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 7650/51,1190/673

Given fractions are 7650/51,1190/673

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 7650,1190

Greatest Common Factor of Numerators i.e. GCF of 7650,1190 is 170 .

LCM of Denominators means LCM of 51,673 as per the given fractions.

LCM of 51,673 is 34323 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7650,1190

GCF of Fractions 7650/51,1190/673 is 170/34323

2 7650, 1190
5 3825, 595
17 765, 119
45, 7

∴ So the GCF of the given numbers is 2 x 5 x 17 = 170

Greatest Common Factor of 7650,1190 By Matching Biggest Common Factor Method

Greatest Common Factor of 7650,1190 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 1190

List of positive integer factors of 1190 that divides 1190 without a remainder.

1,2,5,7,10,14,17,34,35,70,85,119,170,238,595,1190

Greatest Common Factor

We found the factors 7650,1190 . The biggest common factor number is the GCF number.
So the greatest common factor 7650,1190 is 170.

Lets's calculate LCM of 51,673

Given numbers has no common factors except 1. So, there LCM is their product i.e 34323

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 170/34323

Therefore, the GCF of Fractions 7650/51,1190/673 is 170/34323

Least Common Multiple of 51,673 with GCF Formula

Least Common Multiple of 51,673 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 51,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,673) = 1

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

GCF(51,673) x common factors =1 x 1 = 1

LCM(51,673) = ( 51 × 673 ) / 1

LCM(51,673) = 34323 / 1

LCM(51,673) = 34323


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 7650/51, 1190/673

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 7650/51, 1190/673?

Answer: GCF of Numerators as per given numbers 7650/51, 1190/673 is

GCF of Numerators i.e. for 7650,1190 is 170

LCM of denominators i.e. for 51,673 is 34323.

Thus, GCF of Fractions is 170/34323.Finally, GCF of Fractions for 7650/51, 1190/673 is 170/34323.