Greatest Common Factor of 798/575, 3068/7762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 798/575, 3068/7762

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 798/575,3068/7762

Given fractions are 798/575,3068/7762

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 798,3068

Greatest Common Factor of Numerators i.e. GCF of 798,3068 is 2 .

LCM of Denominators means LCM of 575,7762 as per the given fractions.

LCM of 575,7762 is 4463150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 798,3068

GCF of Fractions 798/575,3068/7762 is 2/4463150

2 798, 3068
399, 1534

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

Greatest Common Factor of 798,3068 By Matching Biggest Common Factor Method

Greatest Common Factor of 798,3068 By Matching Biggest Common Factor Method

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 3068

List of positive integer factors of 3068 that divides 3068 without a remainder.

1,2,4,13,26,52,59,118,236,767,1534,3068

Greatest Common Factor

We found the factors 798,3068 . The biggest common factor number is the GCF number.
So the greatest common factor 798,3068 is 2.

Lets's calculate LCM of 575,7762

Given numbers has no common factors except 1. So, there LCM is their product i.e 4463150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4463150

Therefore, the GCF of Fractions 798/575,3068/7762 is 2/4463150

Least Common Multiple of 575,7762 with GCF Formula

Least Common Multiple of 575,7762 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 575,7762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,7762) = 1

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

GCF(575,7762) x common factors =1 x 1 = 1

LCM(575,7762) = ( 575 × 7762 ) / 1

LCM(575,7762) = 4463150 / 1

LCM(575,7762) = 4463150


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 798/575, 3068/7762

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 798/575, 3068/7762?

Answer: GCF of Numerators as per given numbers 798/575, 3068/7762 is

GCF of Numerators i.e. for 798,3068 is 2

LCM of denominators i.e. for 575,7762 is 4463150.

Thus, GCF of Fractions is 2/4463150.Finally, GCF of Fractions for 798/575, 3068/7762 is 2/4463150.