Greatest Common Factor of 77/961, 888/574, 747/795

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 77/961, 888/574, 747/795

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 77/961,888/574,747/795

Given fractions are 77/961,888/574,747/795

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 77,888,747

Greatest Common Factor of Numerators i.e. GCF of 77,888,747 is 1 .

LCM of Denominators means LCM of 961,574,795 as per the given fractions.

LCM of 961,574,795 is 438533130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 77,888,747

GCF of Fractions 77/961,888/574,747/795 is 1/438533130

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

Greatest Common Factor of 77,888,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,888,747 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 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Greatest Common Factor

We found the factors 77,888,747 . The biggest common factor number is the GCF number.
So the greatest common factor 77,888,747 is 1.

Lets's calculate LCM of 961,574,795

Given numbers has no common factors except 1. So, there LCM is their product i.e 438533130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/438533130

Therefore, the GCF of Fractions 77/961,888/574,747/795 is 1/438533130

Least Common Multiple of 961,574,795 with GCF Formula

Least Common Multiple of 961,574,795 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 961,574,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(961,574,795) = 1

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

GCF(961,574,795) x common factors =1 x 1 = 1

LCM(961,574,795) = ( 961 × 574 × 795 ) / 1

LCM(961,574,795) = 438533130 / 1

LCM(961,574,795) = 438533130


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 77/961, 888/574, 747/795

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 77/961, 888/574, 747/795?

Answer: GCF of Numerators as per given numbers 77/961, 888/574, 747/795 is

GCF of Numerators i.e. for 77,888,747 is 1

LCM of denominators i.e. for 961,574,795 is 438533130.

Thus, GCF of Fractions is 1/438533130.Finally, GCF of Fractions for 77/961, 888/574, 747/795 is 1/438533130.