Greatest Common Factor of 231/362, 748/569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 231/362, 748/569

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 231/362,748/569

Given fractions are 231/362,748/569

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 231,748

Greatest Common Factor of Numerators i.e. GCF of 231,748 is 11 .

LCM of Denominators means LCM of 362,569 as per the given fractions.

LCM of 362,569 is 205978 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 231,748

GCF of Fractions 231/362,748/569 is 11/205978

11 231, 748
21, 68

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 231,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,748 By Matching Biggest Common Factor Method

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 231,748 . The biggest common factor number is the GCF number.
So the greatest common factor 231,748 is 11.

Lets's calculate LCM of 362,569

Given numbers has no common factors except 1. So, there LCM is their product i.e 205978

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/205978

Therefore, the GCF of Fractions 231/362,748/569 is 11/205978

Least Common Multiple of 362,569 with GCF Formula

Least Common Multiple of 362,569 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 362,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,569) = 1

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

GCF(362,569) x common factors =1 x 1 = 1

LCM(362,569) = ( 362 × 569 ) / 1

LCM(362,569) = 205978 / 1

LCM(362,569) = 205978


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 231/362, 748/569

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 231/362, 748/569?

Answer: GCF of Numerators as per given numbers 231/362, 748/569 is

GCF of Numerators i.e. for 231,748 is 11

LCM of denominators i.e. for 362,569 is 205978.

Thus, GCF of Fractions is 11/205978.Finally, GCF of Fractions for 231/362, 748/569 is 11/205978.