Greatest Common Factor of 3104/677, 8910/5777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3104/677, 8910/5777

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 3104/677,8910/5777

Given fractions are 3104/677,8910/5777

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 3104,8910

Greatest Common Factor of Numerators i.e. GCF of 3104,8910 is 2 .

LCM of Denominators means LCM of 677,5777 as per the given fractions.

LCM of 677,5777 is 3911029 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3104,8910

GCF of Fractions 3104/677,8910/5777 is 2/3911029

2 3104, 8910
1552, 4455

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

Greatest Common Factor of 3104,8910 By Matching Biggest Common Factor Method

Greatest Common Factor of 3104,8910 By Matching Biggest Common Factor Method

Factors of 3104

List of positive integer factors of 3104 that divides 3104 without a remainder.

1,2,4,8,16,32,97,194,388,776,1552,3104

Factors of 8910

List of positive integer factors of 8910 that divides 8910 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,81,90,99,110,135,162,165,198,270,297,330,405,495,594,810,891,990,1485,1782,2970,4455,8910

Greatest Common Factor

We found the factors 3104,8910 . The biggest common factor number is the GCF number.
So the greatest common factor 3104,8910 is 2.

Lets's calculate LCM of 677,5777

Given numbers has no common factors except 1. So, there LCM is their product i.e 3911029

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3911029

Therefore, the GCF of Fractions 3104/677,8910/5777 is 2/3911029

Least Common Multiple of 677,5777 with GCF Formula

Least Common Multiple of 677,5777 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 677,5777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,5777) = 1

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

GCF(677,5777) x common factors =1 x 1 = 1

LCM(677,5777) = ( 677 × 5777 ) / 1

LCM(677,5777) = 3911029 / 1

LCM(677,5777) = 3911029


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 3104/677, 8910/5777

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 3104/677, 8910/5777?

Answer: GCF of Numerators as per given numbers 3104/677, 8910/5777 is

GCF of Numerators i.e. for 3104,8910 is 2

LCM of denominators i.e. for 677,5777 is 3911029.

Thus, GCF of Fractions is 2/3911029.Finally, GCF of Fractions for 3104/677, 8910/5777 is 2/3911029.