Greatest Common Factor of 52/35, 90/702, 880/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 52/35, 90/702, 880/999

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 52/35,90/702,880/999

Given fractions are 52/35,90/702,880/999

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 52,90,880

Greatest Common Factor of Numerators i.e. GCF of 52,90,880 is 2 .

LCM of Denominators means LCM of 35,702,999 as per the given fractions.

LCM of 35,702,999 is 909090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 52,90,880

GCF of Fractions 52/35,90/702,880/999 is 2/909090

2 52, 90, 880
26, 45, 440

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 52,90,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,90,880 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 52,90,880 . The biggest common factor number is the GCF number.
So the greatest common factor 52,90,880 is 2.

Lets's calculate LCM of 35,702,999

3 35, 702, 999
3 35, 234, 333
3 35, 78, 111
35, 26, 37

∴ So the LCM of the given numbers is 3 x 3 x 3 x 35 x 26 x 37 = 909090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/909090

Therefore, the GCF of Fractions 52/35,90/702,880/999 is 2/909090

Least Common Multiple of 35,702,999 with GCF Formula

Least Common Multiple of 35,702,999 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 35,702,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,702,999) = 1

common factors(in case of two or more numbers have common factors) = 27

GCF(35,702,999) x common factors =1 x 27 = 27

LCM(35,702,999) = ( 35 × 702 × 999 ) / 27

LCM(35,702,999) = 24545430 / 27

LCM(35,702,999) = 909090


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 52/35, 90/702, 880/999

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 52/35, 90/702, 880/999?

Answer: GCF of Numerators as per given numbers 52/35, 90/702, 880/999 is

GCF of Numerators i.e. for 52,90,880 is 2

LCM of denominators i.e. for 35,702,999 is 909090.

Thus, GCF of Fractions is 2/909090.Finally, GCF of Fractions for 52/35, 90/702, 880/999 is 2/909090.