Greatest Common Factor of 77/240, 616/184, 913/481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 77/240, 616/184, 913/481

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 77/240,616/184,913/481

Given fractions are 77/240,616/184,913/481

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 77,616,913

Greatest Common Factor of Numerators i.e. GCF of 77,616,913 is 11 .

LCM of Denominators means LCM of 240,184,481 as per the given fractions.

LCM of 240,184,481 is 2655120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 77,616,913

GCF of Fractions 77/240,616/184,913/481 is 11/2655120

11 77, 616, 913
7, 56, 83

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 77,616,913 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,616,913 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Greatest Common Factor

We found the factors 77,616,913 . The biggest common factor number is the GCF number.
So the greatest common factor 77,616,913 is 11.

Lets's calculate LCM of 240,184,481

2 240, 184, 481
2 120, 92, 481
2 60, 46, 481
30, 23, 481

∴ So the LCM of the given numbers is 2 x 2 x 2 x 30 x 23 x 481 = 2655120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2655120

Therefore, the GCF of Fractions 77/240,616/184,913/481 is 11/2655120

Least Common Multiple of 240,184,481 with GCF Formula

Least Common Multiple of 240,184,481 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 240,184,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,184,481) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(240,184,481) x common factors =1 x 8 = 8

LCM(240,184,481) = ( 240 × 184 × 481 ) / 8

LCM(240,184,481) = 21240960 / 8

LCM(240,184,481) = 2655120


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 77/240, 616/184, 913/481

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 77/240, 616/184, 913/481?

Answer: GCF of Numerators as per given numbers 77/240, 616/184, 913/481 is

GCF of Numerators i.e. for 77,616,913 is 11

LCM of denominators i.e. for 240,184,481 is 2655120.

Thus, GCF of Fractions is 11/2655120.Finally, GCF of Fractions for 77/240, 616/184, 913/481 is 11/2655120.