Greatest Common Factor of 892/785, 1520/237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 892/785, 1520/237

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 892/785,1520/237

Given fractions are 892/785,1520/237

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 892,1520

Greatest Common Factor of Numerators i.e. GCF of 892,1520 is 4 .

LCM of Denominators means LCM of 785,237 as per the given fractions.

LCM of 785,237 is 186045 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 892,1520

GCF of Fractions 892/785,1520/237 is 4/186045

2 892, 1520
2 446, 760
223, 380

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

Greatest Common Factor of 892,1520 By Matching Biggest Common Factor Method

Greatest Common Factor of 892,1520 By Matching Biggest Common Factor Method

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 1520

List of positive integer factors of 1520 that divides 1520 without a remainder.

1,2,4,5,8,10,16,19,20,38,40,76,80,95,152,190,304,380,760,1520

Greatest Common Factor

We found the factors 892,1520 . The biggest common factor number is the GCF number.
So the greatest common factor 892,1520 is 4.

Lets's calculate LCM of 785,237

Given numbers has no common factors except 1. So, there LCM is their product i.e 186045

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/186045

Therefore, the GCF of Fractions 892/785,1520/237 is 4/186045

Least Common Multiple of 785,237 with GCF Formula

Least Common Multiple of 785,237 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 785,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(785,237) = 1

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

GCF(785,237) x common factors =1 x 1 = 1

LCM(785,237) = ( 785 × 237 ) / 1

LCM(785,237) = 186045 / 1

LCM(785,237) = 186045


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 892/785, 1520/237

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 892/785, 1520/237?

Answer: GCF of Numerators as per given numbers 892/785, 1520/237 is

GCF of Numerators i.e. for 892,1520 is 4

LCM of denominators i.e. for 785,237 is 186045.

Thus, GCF of Fractions is 4/186045.Finally, GCF of Fractions for 892/785, 1520/237 is 4/186045.