Greatest Common Factor of 4290/23, 1070/539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4290/23, 1070/539

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 4290/23,1070/539

Given fractions are 4290/23,1070/539

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 4290,1070

Greatest Common Factor of Numerators i.e. GCF of 4290,1070 is 10 .

LCM of Denominators means LCM of 23,539 as per the given fractions.

LCM of 23,539 is 12397 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4290,1070

GCF of Fractions 4290/23,1070/539 is 10/12397

2 4290, 1070
5 2145, 535
429, 107

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

Greatest Common Factor of 4290,1070 By Matching Biggest Common Factor Method

Greatest Common Factor of 4290,1070 By Matching Biggest Common Factor Method

Factors of 4290

List of positive integer factors of 4290 that divides 4290 without a remainder.

1,2,3,5,6,10,11,13,15,22,26,30,33,39,55,65,66,78,110,130,143,165,195,286,330,390,429,715,858,1430,2145,4290

Factors of 1070

List of positive integer factors of 1070 that divides 1070 without a remainder.

1,2,5,10,107,214,535,1070

Greatest Common Factor

We found the factors 4290,1070 . The biggest common factor number is the GCF number.
So the greatest common factor 4290,1070 is 10.

Lets's calculate LCM of 23,539

Given numbers has no common factors except 1. So, there LCM is their product i.e 12397

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/12397

Therefore, the GCF of Fractions 4290/23,1070/539 is 10/12397

Least Common Multiple of 23,539 with GCF Formula

Least Common Multiple of 23,539 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 23,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,539) = 1

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

GCF(23,539) x common factors =1 x 1 = 1

LCM(23,539) = ( 23 × 539 ) / 1

LCM(23,539) = 12397 / 1

LCM(23,539) = 12397


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 4290/23, 1070/539

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 4290/23, 1070/539?

Answer: GCF of Numerators as per given numbers 4290/23, 1070/539 is

GCF of Numerators i.e. for 4290,1070 is 10

LCM of denominators i.e. for 23,539 is 12397.

Thus, GCF of Fractions is 10/12397.Finally, GCF of Fractions for 4290/23, 1070/539 is 10/12397.