Greatest Common Factor of 1373/756, 9822/3852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1373/756, 9822/3852

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 1373/756,9822/3852

Given fractions are 1373/756,9822/3852

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 1373,9822

Greatest Common Factor of Numerators i.e. GCF of 1373,9822 is 1 .

LCM of Denominators means LCM of 756,3852 as per the given fractions.

LCM of 756,3852 is 80892 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1373,9822

GCF of Fractions 1373/756,9822/3852 is 1/80892

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1373,9822 By Matching Biggest Common Factor Method

Greatest Common Factor of 1373,9822 By Matching Biggest Common Factor Method

Factors of 1373

List of positive integer factors of 1373 that divides 1373 without a remainder.

1,1373

Factors of 9822

List of positive integer factors of 9822 that divides 9822 without a remainder.

1,2,3,6,1637,3274,4911,9822

Greatest Common Factor

We found the factors 1373,9822 . The biggest common factor number is the GCF number.
So the greatest common factor 1373,9822 is 1.

Lets's calculate LCM of 756,3852

2 756, 3852
2 378, 1926
3 189, 963
3 63, 321
21, 107

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 21 x 107 = 80892

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80892

Therefore, the GCF of Fractions 1373/756,9822/3852 is 1/80892

Least Common Multiple of 756,3852 with GCF Formula

Least Common Multiple of 756,3852 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 756,3852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,3852) = 36

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

GCF(756,3852) x common factors =36 x 1 = 36

LCM(756,3852) = ( 756 × 3852 ) / 36

LCM(756,3852) = 2912112 / 36

LCM(756,3852) = 80892


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 1373/756, 9822/3852

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 1373/756, 9822/3852?

Answer: GCF of Numerators as per given numbers 1373/756, 9822/3852 is

GCF of Numerators i.e. for 1373,9822 is 1

LCM of denominators i.e. for 756,3852 is 80892.

Thus, GCF of Fractions is 1/80892.Finally, GCF of Fractions for 1373/756, 9822/3852 is 1/80892.