Greatest Common Factor of 4210/793, 1770/865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4210/793, 1770/865

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 4210/793,1770/865

Given fractions are 4210/793,1770/865

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 4210,1770

Greatest Common Factor of Numerators i.e. GCF of 4210,1770 is 10 .

LCM of Denominators means LCM of 793,865 as per the given fractions.

LCM of 793,865 is 685945 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4210,1770

GCF of Fractions 4210/793,1770/865 is 10/685945

2 4210, 1770
5 2105, 885
421, 177

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 4210,1770 By Matching Biggest Common Factor Method

Greatest Common Factor of 4210,1770 By Matching Biggest Common Factor Method

Factors of 4210

List of positive integer factors of 4210 that divides 4210 without a remainder.

1,2,5,10,421,842,2105,4210

Factors of 1770

List of positive integer factors of 1770 that divides 1770 without a remainder.

1,2,3,5,6,10,15,30,59,118,177,295,354,590,885,1770

Greatest Common Factor

We found the factors 4210,1770 . The biggest common factor number is the GCF number.
So the greatest common factor 4210,1770 is 10.

Lets's calculate LCM of 793,865

Given numbers has no common factors except 1. So, there LCM is their product i.e 685945

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/685945

Therefore, the GCF of Fractions 4210/793,1770/865 is 10/685945

Least Common Multiple of 793,865 with GCF Formula

Least Common Multiple of 793,865 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 793,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(793,865) = 1

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

GCF(793,865) x common factors =1 x 1 = 1

LCM(793,865) = ( 793 × 865 ) / 1

LCM(793,865) = 685945 / 1

LCM(793,865) = 685945


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 4210/793, 1770/865

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 4210/793, 1770/865?

Answer: GCF of Numerators as per given numbers 4210/793, 1770/865 is

GCF of Numerators i.e. for 4210,1770 is 10

LCM of denominators i.e. for 793,865 is 685945.

Thus, GCF of Fractions is 10/685945.Finally, GCF of Fractions for 4210/793, 1770/865 is 10/685945.