Greatest Common Factor of 4070/783, 5370/9624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4070/783, 5370/9624

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 4070/783,5370/9624

Given fractions are 4070/783,5370/9624

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 4070,5370

Greatest Common Factor of Numerators i.e. GCF of 4070,5370 is 10 .

LCM of Denominators means LCM of 783,9624 as per the given fractions.

LCM of 783,9624 is 2511864 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4070,5370

GCF of Fractions 4070/783,5370/9624 is 10/2511864

2 4070, 5370
5 2035, 2685
407, 537

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

Greatest Common Factor of 4070,5370 By Matching Biggest Common Factor Method

Greatest Common Factor of 4070,5370 By Matching Biggest Common Factor Method

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

Factors of 5370

List of positive integer factors of 5370 that divides 5370 without a remainder.

1,2,3,5,6,10,15,30,179,358,537,895,1074,1790,2685,5370

Greatest Common Factor

We found the factors 4070,5370 . The biggest common factor number is the GCF number.
So the greatest common factor 4070,5370 is 10.

Lets's calculate LCM of 783,9624

3 783, 9624
261, 3208

∴ So the LCM of the given numbers is 3 x 261 x 3208 = 2511864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2511864

Therefore, the GCF of Fractions 4070/783,5370/9624 is 10/2511864

Least Common Multiple of 783,9624 with GCF Formula

Least Common Multiple of 783,9624 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 783,9624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(783,9624) = 3

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

GCF(783,9624) x common factors =3 x 1 = 3

LCM(783,9624) = ( 783 × 9624 ) / 3

LCM(783,9624) = 7535592 / 3

LCM(783,9624) = 2511864


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 4070/783, 5370/9624

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 4070/783, 5370/9624?

Answer: GCF of Numerators as per given numbers 4070/783, 5370/9624 is

GCF of Numerators i.e. for 4070,5370 is 10

LCM of denominators i.e. for 783,9624 is 2511864.

Thus, GCF of Fractions is 10/2511864.Finally, GCF of Fractions for 4070/783, 5370/9624 is 10/2511864.