Greatest Common Factor of 851/90, 322/2798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 851/90, 322/2798

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 851/90,322/2798

Given fractions are 851/90,322/2798

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 851,322

Greatest Common Factor of Numerators i.e. GCF of 851,322 is 23 .

LCM of Denominators means LCM of 90,2798 as per the given fractions.

LCM of 90,2798 is 125910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 851,322

GCF of Fractions 851/90,322/2798 is 23/125910

23 851, 322
37, 14

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 851,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 851,322 By Matching Biggest Common Factor Method

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 851,322 . The biggest common factor number is the GCF number.
So the greatest common factor 851,322 is 23.

Lets's calculate LCM of 90,2798

2 90, 2798
45, 1399

∴ So the LCM of the given numbers is 2 x 45 x 1399 = 125910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/125910

Therefore, the GCF of Fractions 851/90,322/2798 is 23/125910

Least Common Multiple of 90,2798 with GCF Formula

Least Common Multiple of 90,2798 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 90,2798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,2798) = 2

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

GCF(90,2798) x common factors =2 x 1 = 2

LCM(90,2798) = ( 90 × 2798 ) / 2

LCM(90,2798) = 251820 / 2

LCM(90,2798) = 125910


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 851/90, 322/2798

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 851/90, 322/2798?

Answer: GCF of Numerators as per given numbers 851/90, 322/2798 is

GCF of Numerators i.e. for 851,322 is 23

LCM of denominators i.e. for 90,2798 is 125910.

Thus, GCF of Fractions is 23/125910.Finally, GCF of Fractions for 851/90, 322/2798 is 23/125910.