Greatest Common Factor of 902/664, 1873/4951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 902/664, 1873/4951

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 902/664,1873/4951

Given fractions are 902/664,1873/4951

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 902,1873

Greatest Common Factor of Numerators i.e. GCF of 902,1873 is 1 .

LCM of Denominators means LCM of 664,4951 as per the given fractions.

LCM of 664,4951 is 3287464 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 902,1873

GCF of Fractions 902/664,1873/4951 is 1/3287464

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 902,1873 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,1873 By Matching Biggest Common Factor Method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 1873

List of positive integer factors of 1873 that divides 1873 without a remainder.

1,1873

Greatest Common Factor

We found the factors 902,1873 . The biggest common factor number is the GCF number.
So the greatest common factor 902,1873 is 1.

Lets's calculate LCM of 664,4951

Given numbers has no common factors except 1. So, there LCM is their product i.e 3287464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3287464

Therefore, the GCF of Fractions 902/664,1873/4951 is 1/3287464

Least Common Multiple of 664,4951 with GCF Formula

Least Common Multiple of 664,4951 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 664,4951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,4951) = 1

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

GCF(664,4951) x common factors =1 x 1 = 1

LCM(664,4951) = ( 664 × 4951 ) / 1

LCM(664,4951) = 3287464 / 1

LCM(664,4951) = 3287464


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 902/664, 1873/4951

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 902/664, 1873/4951?

Answer: GCF of Numerators as per given numbers 902/664, 1873/4951 is

GCF of Numerators i.e. for 902,1873 is 1

LCM of denominators i.e. for 664,4951 is 3287464.

Thus, GCF of Fractions is 1/3287464.Finally, GCF of Fractions for 902/664, 1873/4951 is 1/3287464.