Greatest Common Factor of 268/39, 545/31, 778/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 268/39, 545/31, 778/438

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 268/39,545/31,778/438

Given fractions are 268/39,545/31,778/438

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 268,545,778

Greatest Common Factor of Numerators i.e. GCF of 268,545,778 is 1 .

LCM of Denominators means LCM of 39,31,438 as per the given fractions.

LCM of 39,31,438 is 176514 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 268,545,778

GCF of Fractions 268/39,545/31,778/438 is 1/176514

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

Greatest Common Factor of 268,545,778 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,545,778 By Matching Biggest Common Factor Method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Greatest Common Factor

We found the factors 268,545,778 . The biggest common factor number is the GCF number.
So the greatest common factor 268,545,778 is 1.

Lets's calculate LCM of 39,31,438

3 39, 31, 438
13, 31, 146

∴ So the LCM of the given numbers is 3 x 13 x 31 x 146 = 176514

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/176514

Therefore, the GCF of Fractions 268/39,545/31,778/438 is 1/176514

Least Common Multiple of 39,31,438 with GCF Formula

Least Common Multiple of 39,31,438 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 39,31,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,31,438) = 1

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

GCF(39,31,438) x common factors =1 x 3 = 3

LCM(39,31,438) = ( 39 × 31 × 438 ) / 3

LCM(39,31,438) = 529542 / 3

LCM(39,31,438) = 176514


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 268/39, 545/31, 778/438

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 268/39, 545/31, 778/438?

Answer: GCF of Numerators as per given numbers 268/39, 545/31, 778/438 is

GCF of Numerators i.e. for 268,545,778 is 1

LCM of denominators i.e. for 39,31,438 is 176514.

Thus, GCF of Fractions is 1/176514.Finally, GCF of Fractions for 268/39, 545/31, 778/438 is 1/176514.