Greatest Common Factor of 920/852, 5252/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 920/852, 5252/105

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 920/852,5252/105

Given fractions are 920/852,5252/105

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 920,5252

Greatest Common Factor of Numerators i.e. GCF of 920,5252 is 4 .

LCM of Denominators means LCM of 852,105 as per the given fractions.

LCM of 852,105 is 29820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 920,5252

GCF of Fractions 920/852,5252/105 is 4/29820

2 920, 5252
2 460, 2626
230, 1313

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 920,5252 By Matching Biggest Common Factor Method

Greatest Common Factor of 920,5252 By Matching Biggest Common Factor Method

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 5252

List of positive integer factors of 5252 that divides 5252 without a remainder.

1,2,4,13,26,52,101,202,404,1313,2626,5252

Greatest Common Factor

We found the factors 920,5252 . The biggest common factor number is the GCF number.
So the greatest common factor 920,5252 is 4.

Lets's calculate LCM of 852,105

3 852, 105
284, 35

∴ So the LCM of the given numbers is 3 x 284 x 35 = 29820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/29820

Therefore, the GCF of Fractions 920/852,5252/105 is 4/29820

Least Common Multiple of 852,105 with GCF Formula

Least Common Multiple of 852,105 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 852,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,105) = 3

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

GCF(852,105) x common factors =3 x 1 = 3

LCM(852,105) = ( 852 × 105 ) / 3

LCM(852,105) = 89460 / 3

LCM(852,105) = 29820


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 920/852, 5252/105

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 920/852, 5252/105?

Answer: GCF of Numerators as per given numbers 920/852, 5252/105 is

GCF of Numerators i.e. for 920,5252 is 4

LCM of denominators i.e. for 852,105 is 29820.

Thus, GCF of Fractions is 4/29820.Finally, GCF of Fractions for 920/852, 5252/105 is 4/29820.