Greatest Common Factor of 3/79, 59/74, 51/379, 257/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/79, 59/74, 51/379, 257/813

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 3/79,59/74,51/379,257/813

Given fractions are 3/79,59/74,51/379,257/813

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 3,59,51,257

Greatest Common Factor of Numerators i.e. GCF of 3,59,51,257 is 1 .

LCM of Denominators means LCM of 79,74,379,813 as per the given fractions.

LCM of 79,74,379,813 is 1801310442 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,59,51,257

GCF of Fractions 3/79,59/74,51/379,257/813 is 1/1801310442

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

Greatest Common Factor of 3,59,51,257 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,59,51,257 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Greatest Common Factor

We found the factors 3,59,51,257 . The biggest common factor number is the GCF number.
So the greatest common factor 3,59,51,257 is 1.

Lets's calculate LCM of 79,74,379,813

Given numbers has no common factors except 1. So, there LCM is their product i.e 1801310442

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1801310442

Therefore, the GCF of Fractions 3/79,59/74,51/379,257/813 is 1/1801310442

Least Common Multiple of 79,74,379,813 with GCF Formula

Least Common Multiple of 79,74,379,813 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 79,74,379,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,74,379,813) = 1

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

GCF(79,74,379,813) x common factors =1 x 1 = 1

LCM(79,74,379,813) = ( 79 × 74 × 379 × 813 ) / 1

LCM(79,74,379,813) = 1801310442 / 1

LCM(79,74,379,813) = 1801310442


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 3/79, 59/74, 51/379, 257/813

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 3/79, 59/74, 51/379, 257/813?

Answer: GCF of Numerators as per given numbers 3/79, 59/74, 51/379, 257/813 is

GCF of Numerators i.e. for 3,59,51,257 is 1

LCM of denominators i.e. for 79,74,379,813 is 1801310442.

Thus, GCF of Fractions is 1/1801310442.Finally, GCF of Fractions for 3/79, 59/74, 51/379, 257/813 is 1/1801310442.