Greatest Common Factor of 837/95, 899/8451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 837/95, 899/8451

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 837/95,899/8451

Given fractions are 837/95,899/8451

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 837,899

Greatest Common Factor of Numerators i.e. GCF of 837,899 is 31 .

LCM of Denominators means LCM of 95,8451 as per the given fractions.

LCM of 95,8451 is 802845 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 837,899

GCF of Fractions 837/95,899/8451 is 31/802845

31 837, 899
27, 29

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 837,899 By Matching Biggest Common Factor Method

Greatest Common Factor of 837,899 By Matching Biggest Common Factor Method

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Greatest Common Factor

We found the factors 837,899 . The biggest common factor number is the GCF number.
So the greatest common factor 837,899 is 31.

Lets's calculate LCM of 95,8451

Given numbers has no common factors except 1. So, there LCM is their product i.e 802845

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/802845

Therefore, the GCF of Fractions 837/95,899/8451 is 31/802845

Least Common Multiple of 95,8451 with GCF Formula

Least Common Multiple of 95,8451 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 95,8451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,8451) = 1

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

GCF(95,8451) x common factors =1 x 1 = 1

LCM(95,8451) = ( 95 × 8451 ) / 1

LCM(95,8451) = 802845 / 1

LCM(95,8451) = 802845


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 837/95, 899/8451

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 837/95, 899/8451?

Answer: GCF of Numerators as per given numbers 837/95, 899/8451 is

GCF of Numerators i.e. for 837,899 is 31

LCM of denominators i.e. for 95,8451 is 802845.

Thus, GCF of Fractions is 31/802845.Finally, GCF of Fractions for 837/95, 899/8451 is 31/802845.