Greatest Common Factor of 10/677, 3051/3779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 10/677, 3051/3779

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 10/677,3051/3779

Given fractions are 10/677,3051/3779

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 10,3051

Greatest Common Factor of Numerators i.e. GCF of 10,3051 is 1 .

LCM of Denominators means LCM of 677,3779 as per the given fractions.

LCM of 677,3779 is 2558383 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,3051

GCF of Fractions 10/677,3051/3779 is 1/2558383

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

Greatest Common Factor of 10,3051 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,3051 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 3051

List of positive integer factors of 3051 that divides 3051 without a remainder.

1,3,9,27,113,339,1017,3051

Greatest Common Factor

We found the factors 10,3051 . The biggest common factor number is the GCF number.
So the greatest common factor 10,3051 is 1.

Lets's calculate LCM of 677,3779

Given numbers has no common factors except 1. So, there LCM is their product i.e 2558383

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2558383

Therefore, the GCF of Fractions 10/677,3051/3779 is 1/2558383

Least Common Multiple of 677,3779 with GCF Formula

Least Common Multiple of 677,3779 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 677,3779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,3779) = 1

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

GCF(677,3779) x common factors =1 x 1 = 1

LCM(677,3779) = ( 677 × 3779 ) / 1

LCM(677,3779) = 2558383 / 1

LCM(677,3779) = 2558383


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 10/677, 3051/3779

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 10/677, 3051/3779?

Answer: GCF of Numerators as per given numbers 10/677, 3051/3779 is

GCF of Numerators i.e. for 10,3051 is 1

LCM of denominators i.e. for 677,3779 is 2558383.

Thus, GCF of Fractions is 1/2558383.Finally, GCF of Fractions for 10/677, 3051/3779 is 1/2558383.