Greatest Common Factor of 5010/918, 4070/3711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5010/918, 4070/3711

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 5010/918,4070/3711

Given fractions are 5010/918,4070/3711

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 5010,4070

Greatest Common Factor of Numerators i.e. GCF of 5010,4070 is 10 .

LCM of Denominators means LCM of 918,3711 as per the given fractions.

LCM of 918,3711 is 1135566 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5010,4070

GCF of Fractions 5010/918,4070/3711 is 10/1135566

2 5010, 4070
5 2505, 2035
501, 407

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

Greatest Common Factor of 5010,4070 By Matching Biggest Common Factor Method

Greatest Common Factor of 5010,4070 By Matching Biggest Common Factor Method

Factors of 5010

List of positive integer factors of 5010 that divides 5010 without a remainder.

1,2,3,5,6,10,15,30,167,334,501,835,1002,1670,2505,5010

Factors of 4070

List of positive integer factors of 4070 that divides 4070 without a remainder.

1,2,5,10,11,22,37,55,74,110,185,370,407,814,2035,4070

Greatest Common Factor

We found the factors 5010,4070 . The biggest common factor number is the GCF number.
So the greatest common factor 5010,4070 is 10.

Lets's calculate LCM of 918,3711

3 918, 3711
306, 1237

∴ So the LCM of the given numbers is 3 x 306 x 1237 = 1135566

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1135566

Therefore, the GCF of Fractions 5010/918,4070/3711 is 10/1135566

Least Common Multiple of 918,3711 with GCF Formula

Least Common Multiple of 918,3711 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 918,3711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,3711) = 3

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

GCF(918,3711) x common factors =3 x 1 = 3

LCM(918,3711) = ( 918 × 3711 ) / 3

LCM(918,3711) = 3406698 / 3

LCM(918,3711) = 1135566


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 5010/918, 4070/3711

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 5010/918, 4070/3711?

Answer: GCF of Numerators as per given numbers 5010/918, 4070/3711 is

GCF of Numerators i.e. for 5010,4070 is 10

LCM of denominators i.e. for 918,3711 is 1135566.

Thus, GCF of Fractions is 10/1135566.Finally, GCF of Fractions for 5010/918, 4070/3711 is 10/1135566.