Greatest Common Factor of 992/218, 6880/8075

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 992/218, 6880/8075

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 992/218,6880/8075

Given fractions are 992/218,6880/8075

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 992,6880

Greatest Common Factor of Numerators i.e. GCF of 992,6880 is 32 .

LCM of Denominators means LCM of 218,8075 as per the given fractions.

LCM of 218,8075 is 1760350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 992,6880

GCF of Fractions 992/218,6880/8075 is 32/1760350

2 992, 6880
2 496, 3440
2 248, 1720
2 124, 860
2 62, 430
31, 215

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Greatest Common Factor of 992,6880 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,6880 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 6880

List of positive integer factors of 6880 that divides 6880 without a remainder.

1,2,4,5,8,10,16,20,32,40,43,80,86,160,172,215,344,430,688,860,1376,1720,3440,6880

Greatest Common Factor

We found the factors 992,6880 . The biggest common factor number is the GCF number.
So the greatest common factor 992,6880 is 32.

Lets's calculate LCM of 218,8075

Given numbers has no common factors except 1. So, there LCM is their product i.e 1760350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/1760350

Therefore, the GCF of Fractions 992/218,6880/8075 is 32/1760350

Least Common Multiple of 218,8075 with GCF Formula

Least Common Multiple of 218,8075 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 218,8075 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,8075) = 1

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

GCF(218,8075) x common factors =1 x 1 = 1

LCM(218,8075) = ( 218 × 8075 ) / 1

LCM(218,8075) = 1760350 / 1

LCM(218,8075) = 1760350


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 992/218, 6880/8075

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 992/218, 6880/8075?

Answer: GCF of Numerators as per given numbers 992/218, 6880/8075 is

GCF of Numerators i.e. for 992,6880 is 32

LCM of denominators i.e. for 218,8075 is 1760350.

Thus, GCF of Fractions is 32/1760350.Finally, GCF of Fractions for 992/218, 6880/8075 is 32/1760350.