Greatest Common Factor of 1610/914, 2992/331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1610/914, 2992/331

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 1610/914,2992/331

Given fractions are 1610/914,2992/331

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 1610,2992

Greatest Common Factor of Numerators i.e. GCF of 1610,2992 is 2 .

LCM of Denominators means LCM of 914,331 as per the given fractions.

LCM of 914,331 is 302534 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1610,2992

GCF of Fractions 1610/914,2992/331 is 2/302534

2 1610, 2992
805, 1496

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

Greatest Common Factor of 1610,2992 By Matching Biggest Common Factor Method

Greatest Common Factor of 1610,2992 By Matching Biggest Common Factor Method

Factors of 1610

List of positive integer factors of 1610 that divides 1610 without a remainder.

1,2,5,7,10,14,23,35,46,70,115,161,230,322,805,1610

Factors of 2992

List of positive integer factors of 2992 that divides 2992 without a remainder.

1,2,4,8,11,16,17,22,34,44,68,88,136,176,187,272,374,748,1496,2992

Greatest Common Factor

We found the factors 1610,2992 . The biggest common factor number is the GCF number.
So the greatest common factor 1610,2992 is 2.

Lets's calculate LCM of 914,331

Given numbers has no common factors except 1. So, there LCM is their product i.e 302534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/302534

Therefore, the GCF of Fractions 1610/914,2992/331 is 2/302534

Least Common Multiple of 914,331 with GCF Formula

Least Common Multiple of 914,331 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 914,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(914,331) = 1

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

GCF(914,331) x common factors =1 x 1 = 1

LCM(914,331) = ( 914 × 331 ) / 1

LCM(914,331) = 302534 / 1

LCM(914,331) = 302534


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 1610/914, 2992/331

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 1610/914, 2992/331?

Answer: GCF of Numerators as per given numbers 1610/914, 2992/331 is

GCF of Numerators i.e. for 1610,2992 is 2

LCM of denominators i.e. for 914,331 is 302534.

Thus, GCF of Fractions is 2/302534.Finally, GCF of Fractions for 1610/914, 2992/331 is 2/302534.