Greatest Common Factor of 1610/485, 6877/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1610/485, 6877/466

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 1610/485,6877/466

Given fractions are 1610/485,6877/466

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 1610,6877

Greatest Common Factor of Numerators i.e. GCF of 1610,6877 is 23 .

LCM of Denominators means LCM of 485,466 as per the given fractions.

LCM of 485,466 is 226010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1610,6877

GCF of Fractions 1610/485,6877/466 is 23/226010

23 1610, 6877
70, 299

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 1610,6877 By Matching Biggest Common Factor Method

Greatest Common Factor of 1610,6877 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 6877

List of positive integer factors of 6877 that divides 6877 without a remainder.

1,13,23,299,529,6877

Greatest Common Factor

We found the factors 1610,6877 . The biggest common factor number is the GCF number.
So the greatest common factor 1610,6877 is 23.

Lets's calculate LCM of 485,466

Given numbers has no common factors except 1. So, there LCM is their product i.e 226010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/226010

Therefore, the GCF of Fractions 1610/485,6877/466 is 23/226010

Least Common Multiple of 485,466 with GCF Formula

Least Common Multiple of 485,466 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 485,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(485,466) = 1

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

GCF(485,466) x common factors =1 x 1 = 1

LCM(485,466) = ( 485 × 466 ) / 1

LCM(485,466) = 226010 / 1

LCM(485,466) = 226010


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 1610/485, 6877/466

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 1610/485, 6877/466?

Answer: GCF of Numerators as per given numbers 1610/485, 6877/466 is

GCF of Numerators i.e. for 1610,6877 is 23

LCM of denominators i.e. for 485,466 is 226010.

Thus, GCF of Fractions is 23/226010.Finally, GCF of Fractions for 1610/485, 6877/466 is 23/226010.