Greatest Common Factor of 1352/828, 7650/9925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1352/828, 7650/9925

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 1352/828,7650/9925

Given fractions are 1352/828,7650/9925

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 1352,7650

Greatest Common Factor of Numerators i.e. GCF of 1352,7650 is 2 .

LCM of Denominators means LCM of 828,9925 as per the given fractions.

LCM of 828,9925 is 8217900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1352,7650

GCF of Fractions 1352/828,7650/9925 is 2/8217900

2 1352, 7650
676, 3825

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

Greatest Common Factor of 1352,7650 By Matching Biggest Common Factor Method

Greatest Common Factor of 1352,7650 By Matching Biggest Common Factor Method

Factors of 1352

List of positive integer factors of 1352 that divides 1352 without a remainder.

1,2,4,8,13,26,52,104,169,338,676,1352

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

Greatest Common Factor

We found the factors 1352,7650 . The biggest common factor number is the GCF number.
So the greatest common factor 1352,7650 is 2.

Lets's calculate LCM of 828,9925

Given numbers has no common factors except 1. So, there LCM is their product i.e 8217900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8217900

Therefore, the GCF of Fractions 1352/828,7650/9925 is 2/8217900

Least Common Multiple of 828,9925 with GCF Formula

Least Common Multiple of 828,9925 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 828,9925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,9925) = 1

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

GCF(828,9925) x common factors =1 x 1 = 1

LCM(828,9925) = ( 828 × 9925 ) / 1

LCM(828,9925) = 8217900 / 1

LCM(828,9925) = 8217900


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 1352/828, 7650/9925

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 1352/828, 7650/9925?

Answer: GCF of Numerators as per given numbers 1352/828, 7650/9925 is

GCF of Numerators i.e. for 1352,7650 is 2

LCM of denominators i.e. for 828,9925 is 8217900.

Thus, GCF of Fractions is 2/8217900.Finally, GCF of Fractions for 1352/828, 7650/9925 is 2/8217900.