Greatest Common Factor of 798/875, 1820/806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 798/875, 1820/806

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 798/875,1820/806

Given fractions are 798/875,1820/806

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 798,1820

Greatest Common Factor of Numerators i.e. GCF of 798,1820 is 14 .

LCM of Denominators means LCM of 875,806 as per the given fractions.

LCM of 875,806 is 705250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 798,1820

GCF of Fractions 798/875,1820/806 is 14/705250

2 798, 1820
7 399, 910
57, 130

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 798,1820 By Matching Biggest Common Factor Method

Greatest Common Factor of 798,1820 By Matching Biggest Common Factor Method

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 1820

List of positive integer factors of 1820 that divides 1820 without a remainder.

1,2,4,5,7,10,13,14,20,26,28,35,52,65,70,91,130,140,182,260,364,455,910,1820

Greatest Common Factor

We found the factors 798,1820 . The biggest common factor number is the GCF number.
So the greatest common factor 798,1820 is 14.

Lets's calculate LCM of 875,806

Given numbers has no common factors except 1. So, there LCM is their product i.e 705250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/705250

Therefore, the GCF of Fractions 798/875,1820/806 is 14/705250

Least Common Multiple of 875,806 with GCF Formula

Least Common Multiple of 875,806 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 875,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(875,806) = 1

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

GCF(875,806) x common factors =1 x 1 = 1

LCM(875,806) = ( 875 × 806 ) / 1

LCM(875,806) = 705250 / 1

LCM(875,806) = 705250


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 798/875, 1820/806

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 798/875, 1820/806?

Answer: GCF of Numerators as per given numbers 798/875, 1820/806 is

GCF of Numerators i.e. for 798,1820 is 14

LCM of denominators i.e. for 875,806 is 705250.

Thus, GCF of Fractions is 14/705250.Finally, GCF of Fractions for 798/875, 1820/806 is 14/705250.