Greatest Common Factor of 249/69, 118/24, 776/955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 249/69, 118/24, 776/955

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 249/69,118/24,776/955

Given fractions are 249/69,118/24,776/955

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 249,118,776

Greatest Common Factor of Numerators i.e. GCF of 249,118,776 is 1 .

LCM of Denominators means LCM of 69,24,955 as per the given fractions.

LCM of 69,24,955 is 527160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 249,118,776

GCF of Fractions 249/69,118/24,776/955 is 1/527160

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

Greatest Common Factor of 249,118,776 By Matching Biggest Common Factor Method

Greatest Common Factor of 249,118,776 By Matching Biggest Common Factor Method

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Greatest Common Factor

We found the factors 249,118,776 . The biggest common factor number is the GCF number.
So the greatest common factor 249,118,776 is 1.

Lets's calculate LCM of 69,24,955

3 69, 24, 955
23, 8, 955

∴ So the LCM of the given numbers is 3 x 23 x 8 x 955 = 527160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/527160

Therefore, the GCF of Fractions 249/69,118/24,776/955 is 1/527160

Least Common Multiple of 69,24,955 with GCF Formula

Least Common Multiple of 69,24,955 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 69,24,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,24,955) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(69,24,955) x common factors =1 x 3 = 3

LCM(69,24,955) = ( 69 × 24 × 955 ) / 3

LCM(69,24,955) = 1581480 / 3

LCM(69,24,955) = 527160


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 249/69, 118/24, 776/955

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 249/69, 118/24, 776/955?

Answer: GCF of Numerators as per given numbers 249/69, 118/24, 776/955 is

GCF of Numerators i.e. for 249,118,776 is 1

LCM of denominators i.e. for 69,24,955 is 527160.

Thus, GCF of Fractions is 1/527160.Finally, GCF of Fractions for 249/69, 118/24, 776/955 is 1/527160.