Greatest Common Factor of 8872/64, 1062/967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8872/64, 1062/967

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 8872/64,1062/967

Given fractions are 8872/64,1062/967

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 8872,1062

Greatest Common Factor of Numerators i.e. GCF of 8872,1062 is 2 .

LCM of Denominators means LCM of 64,967 as per the given fractions.

LCM of 64,967 is 61888 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8872,1062

GCF of Fractions 8872/64,1062/967 is 2/61888

2 8872, 1062
4436, 531

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

Greatest Common Factor of 8872,1062 By Matching Biggest Common Factor Method

Greatest Common Factor of 8872,1062 By Matching Biggest Common Factor Method

Factors of 8872

List of positive integer factors of 8872 that divides 8872 without a remainder.

1,2,4,8,1109,2218,4436,8872

Factors of 1062

List of positive integer factors of 1062 that divides 1062 without a remainder.

1,2,3,6,9,18,59,118,177,354,531,1062

Greatest Common Factor

We found the factors 8872,1062 . The biggest common factor number is the GCF number.
So the greatest common factor 8872,1062 is 2.

Lets's calculate LCM of 64,967

Given numbers has no common factors except 1. So, there LCM is their product i.e 61888

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/61888

Therefore, the GCF of Fractions 8872/64,1062/967 is 2/61888

Least Common Multiple of 64,967 with GCF Formula

Least Common Multiple of 64,967 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 64,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,967) = 1

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

GCF(64,967) x common factors =1 x 1 = 1

LCM(64,967) = ( 64 × 967 ) / 1

LCM(64,967) = 61888 / 1

LCM(64,967) = 61888


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 8872/64, 1062/967

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 8872/64, 1062/967?

Answer: GCF of Numerators as per given numbers 8872/64, 1062/967 is

GCF of Numerators i.e. for 8872,1062 is 2

LCM of denominators i.e. for 64,967 is 61888.

Thus, GCF of Fractions is 2/61888.Finally, GCF of Fractions for 8872/64, 1062/967 is 2/61888.