Greatest Common Factor of 740/50, 418/379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 740/50, 418/379

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 740/50,418/379

Given fractions are 740/50,418/379

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 740,418

Greatest Common Factor of Numerators i.e. GCF of 740,418 is 2 .

LCM of Denominators means LCM of 50,379 as per the given fractions.

LCM of 50,379 is 18950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 740,418

GCF of Fractions 740/50,418/379 is 2/18950

2 740, 418
370, 209

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

Greatest Common Factor of 740,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,418 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 740,418 . The biggest common factor number is the GCF number.
So the greatest common factor 740,418 is 2.

Lets's calculate LCM of 50,379

Given numbers has no common factors except 1. So, there LCM is their product i.e 18950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18950

Therefore, the GCF of Fractions 740/50,418/379 is 2/18950

Least Common Multiple of 50,379 with GCF Formula

Least Common Multiple of 50,379 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 50,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,379) = 1

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

GCF(50,379) x common factors =1 x 1 = 1

LCM(50,379) = ( 50 × 379 ) / 1

LCM(50,379) = 18950 / 1

LCM(50,379) = 18950


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 740/50, 418/379

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 740/50, 418/379?

Answer: GCF of Numerators as per given numbers 740/50, 418/379 is

GCF of Numerators i.e. for 740,418 is 2

LCM of denominators i.e. for 50,379 is 18950.

Thus, GCF of Fractions is 2/18950.Finally, GCF of Fractions for 740/50, 418/379 is 2/18950.