Greatest Common Factor of 6395/88, 1940/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6395/88, 1940/850

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 6395/88,1940/850

Given fractions are 6395/88,1940/850

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 6395,1940

Greatest Common Factor of Numerators i.e. GCF of 6395,1940 is 5 .

LCM of Denominators means LCM of 88,850 as per the given fractions.

LCM of 88,850 is 37400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6395,1940

GCF of Fractions 6395/88,1940/850 is 5/37400

5 6395, 1940
1279, 388

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 6395,1940 By Matching Biggest Common Factor Method

Greatest Common Factor of 6395,1940 By Matching Biggest Common Factor Method

Factors of 6395

List of positive integer factors of 6395 that divides 6395 without a remainder.

1,5,1279,6395

Factors of 1940

List of positive integer factors of 1940 that divides 1940 without a remainder.

1,2,4,5,10,20,97,194,388,485,970,1940

Greatest Common Factor

We found the factors 6395,1940 . The biggest common factor number is the GCF number.
So the greatest common factor 6395,1940 is 5.

Lets's calculate LCM of 88,850

2 88, 850
44, 425

∴ So the LCM of the given numbers is 2 x 44 x 425 = 37400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/37400

Therefore, the GCF of Fractions 6395/88,1940/850 is 5/37400

Least Common Multiple of 88,850 with GCF Formula

Least Common Multiple of 88,850 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 88,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,850) = 2

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

GCF(88,850) x common factors =2 x 1 = 2

LCM(88,850) = ( 88 × 850 ) / 2

LCM(88,850) = 74800 / 2

LCM(88,850) = 37400


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 6395/88, 1940/850

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 6395/88, 1940/850?

Answer: GCF of Numerators as per given numbers 6395/88, 1940/850 is

GCF of Numerators i.e. for 6395,1940 is 5

LCM of denominators i.e. for 88,850 is 37400.

Thus, GCF of Fractions is 5/37400.Finally, GCF of Fractions for 6395/88, 1940/850 is 5/37400.