Greatest Common Factor of 877/31, 828/89, 867/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 877/31, 828/89, 867/698

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 877/31,828/89,867/698

Given fractions are 877/31,828/89,867/698

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 877,828,867

Greatest Common Factor of Numerators i.e. GCF of 877,828,867 is 1 .

LCM of Denominators means LCM of 31,89,698 as per the given fractions.

LCM of 31,89,698 is 1925782 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 877,828,867

GCF of Fractions 877/31,828/89,867/698 is 1/1925782

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

Greatest Common Factor of 877,828,867 By Matching Biggest Common Factor Method

Greatest Common Factor of 877,828,867 By Matching Biggest Common Factor Method

Factors of 877

List of positive integer factors of 877 that divides 877 without a remainder.

1,877

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Greatest Common Factor

We found the factors 877,828,867 . The biggest common factor number is the GCF number.
So the greatest common factor 877,828,867 is 1.

Lets's calculate LCM of 31,89,698

Given numbers has no common factors except 1. So, there LCM is their product i.e 1925782

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1925782

Therefore, the GCF of Fractions 877/31,828/89,867/698 is 1/1925782

Least Common Multiple of 31,89,698 with GCF Formula

Least Common Multiple of 31,89,698 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 31,89,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,89,698) = 1

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

GCF(31,89,698) x common factors =1 x 1 = 1

LCM(31,89,698) = ( 31 × 89 × 698 ) / 1

LCM(31,89,698) = 1925782 / 1

LCM(31,89,698) = 1925782


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 877/31, 828/89, 867/698

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 877/31, 828/89, 867/698?

Answer: GCF of Numerators as per given numbers 877/31, 828/89, 867/698 is

GCF of Numerators i.e. for 877,828,867 is 1

LCM of denominators i.e. for 31,89,698 is 1925782.

Thus, GCF of Fractions is 1/1925782.Finally, GCF of Fractions for 877/31, 828/89, 867/698 is 1/1925782.