Greatest Common Factor of 966/67, 7870/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 966/67, 7870/882

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 966/67,7870/882

Given fractions are 966/67,7870/882

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 966,7870

Greatest Common Factor of Numerators i.e. GCF of 966,7870 is 2 .

LCM of Denominators means LCM of 67,882 as per the given fractions.

LCM of 67,882 is 59094 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 966,7870

GCF of Fractions 966/67,7870/882 is 2/59094

2 966, 7870
483, 3935

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

Greatest Common Factor of 966,7870 By Matching Biggest Common Factor Method

Greatest Common Factor of 966,7870 By Matching Biggest Common Factor Method

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 7870

List of positive integer factors of 7870 that divides 7870 without a remainder.

1,2,5,10,787,1574,3935,7870

Greatest Common Factor

We found the factors 966,7870 . The biggest common factor number is the GCF number.
So the greatest common factor 966,7870 is 2.

Lets's calculate LCM of 67,882

Given numbers has no common factors except 1. So, there LCM is their product i.e 59094

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/59094

Therefore, the GCF of Fractions 966/67,7870/882 is 2/59094

Least Common Multiple of 67,882 with GCF Formula

Least Common Multiple of 67,882 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 67,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,882) = 1

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

GCF(67,882) x common factors =1 x 1 = 1

LCM(67,882) = ( 67 × 882 ) / 1

LCM(67,882) = 59094 / 1

LCM(67,882) = 59094


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 966/67, 7870/882

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 966/67, 7870/882?

Answer: GCF of Numerators as per given numbers 966/67, 7870/882 is

GCF of Numerators i.e. for 966,7870 is 2

LCM of denominators i.e. for 67,882 is 59094.

Thus, GCF of Fractions is 2/59094.Finally, GCF of Fractions for 966/67, 7870/882 is 2/59094.