Greatest Common Factor of 1501/612, 2155/661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1501/612, 2155/661

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 1501/612,2155/661

Given fractions are 1501/612,2155/661

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 1501,2155

Greatest Common Factor of Numerators i.e. GCF of 1501,2155 is 1 .

LCM of Denominators means LCM of 612,661 as per the given fractions.

LCM of 612,661 is 404532 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1501,2155

GCF of Fractions 1501/612,2155/661 is 1/404532

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

Greatest Common Factor of 1501,2155 By Matching Biggest Common Factor Method

Greatest Common Factor of 1501,2155 By Matching Biggest Common Factor Method

Factors of 1501

List of positive integer factors of 1501 that divides 1501 without a remainder.

1,19,79,1501

Factors of 2155

List of positive integer factors of 2155 that divides 2155 without a remainder.

1,5,431,2155

Greatest Common Factor

We found the factors 1501,2155 . The biggest common factor number is the GCF number.
So the greatest common factor 1501,2155 is 1.

Lets's calculate LCM of 612,661

Given numbers has no common factors except 1. So, there LCM is their product i.e 404532

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/404532

Therefore, the GCF of Fractions 1501/612,2155/661 is 1/404532

Least Common Multiple of 612,661 with GCF Formula

Least Common Multiple of 612,661 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 612,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(612,661) = 1

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

GCF(612,661) x common factors =1 x 1 = 1

LCM(612,661) = ( 612 × 661 ) / 1

LCM(612,661) = 404532 / 1

LCM(612,661) = 404532


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 1501/612, 2155/661

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 1501/612, 2155/661?

Answer: GCF of Numerators as per given numbers 1501/612, 2155/661 is

GCF of Numerators i.e. for 1501,2155 is 1

LCM of denominators i.e. for 612,661 is 404532.

Thus, GCF of Fractions is 1/404532.Finally, GCF of Fractions for 1501/612, 2155/661 is 1/404532.