Greatest Common Factor of 78/151, 854/713, 262/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 78/151, 854/713, 262/305

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 78/151,854/713,262/305

Given fractions are 78/151,854/713,262/305

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 78,854,262

Greatest Common Factor of Numerators i.e. GCF of 78,854,262 is 2 .

LCM of Denominators means LCM of 151,713,305 as per the given fractions.

LCM of 151,713,305 is 32837215 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 78,854,262

GCF of Fractions 78/151,854/713,262/305 is 2/32837215

2 78, 854, 262
39, 427, 131

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

Greatest Common Factor of 78,854,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,854,262 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Greatest Common Factor

We found the factors 78,854,262 . The biggest common factor number is the GCF number.
So the greatest common factor 78,854,262 is 2.

Lets's calculate LCM of 151,713,305

Given numbers has no common factors except 1. So, there LCM is their product i.e 32837215

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32837215

Therefore, the GCF of Fractions 78/151,854/713,262/305 is 2/32837215

Least Common Multiple of 151,713,305 with GCF Formula

Least Common Multiple of 151,713,305 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 151,713,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(151,713,305) = 1

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

GCF(151,713,305) x common factors =1 x 1 = 1

LCM(151,713,305) = ( 151 × 713 × 305 ) / 1

LCM(151,713,305) = 32837215 / 1

LCM(151,713,305) = 32837215


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 78/151, 854/713, 262/305

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 78/151, 854/713, 262/305?

Answer: GCF of Numerators as per given numbers 78/151, 854/713, 262/305 is

GCF of Numerators i.e. for 78,854,262 is 2

LCM of denominators i.e. for 151,713,305 is 32837215.

Thus, GCF of Fractions is 2/32837215.Finally, GCF of Fractions for 78/151, 854/713, 262/305 is 2/32837215.