Greatest Common Factor of 1612/763, 8998/2889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1612/763, 8998/2889

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 1612/763,8998/2889

Given fractions are 1612/763,8998/2889

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 1612,8998

Greatest Common Factor of Numerators i.e. GCF of 1612,8998 is 2 .

LCM of Denominators means LCM of 763,2889 as per the given fractions.

LCM of 763,2889 is 2204307 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1612,8998

GCF of Fractions 1612/763,8998/2889 is 2/2204307

2 1612, 8998
806, 4499

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

Greatest Common Factor of 1612,8998 By Matching Biggest Common Factor Method

Greatest Common Factor of 1612,8998 By Matching Biggest Common Factor Method

Factors of 1612

List of positive integer factors of 1612 that divides 1612 without a remainder.

1,2,4,13,26,31,52,62,124,403,806,1612

Factors of 8998

List of positive integer factors of 8998 that divides 8998 without a remainder.

1,2,11,22,409,818,4499,8998

Greatest Common Factor

We found the factors 1612,8998 . The biggest common factor number is the GCF number.
So the greatest common factor 1612,8998 is 2.

Lets's calculate LCM of 763,2889

Given numbers has no common factors except 1. So, there LCM is their product i.e 2204307

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2204307

Therefore, the GCF of Fractions 1612/763,8998/2889 is 2/2204307

Least Common Multiple of 763,2889 with GCF Formula

Least Common Multiple of 763,2889 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 763,2889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(763,2889) = 1

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

GCF(763,2889) x common factors =1 x 1 = 1

LCM(763,2889) = ( 763 × 2889 ) / 1

LCM(763,2889) = 2204307 / 1

LCM(763,2889) = 2204307


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 1612/763, 8998/2889

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 1612/763, 8998/2889?

Answer: GCF of Numerators as per given numbers 1612/763, 8998/2889 is

GCF of Numerators i.e. for 1612,8998 is 2

LCM of denominators i.e. for 763,2889 is 2204307.

Thus, GCF of Fractions is 2/2204307.Finally, GCF of Fractions for 1612/763, 8998/2889 is 2/2204307.