Greatest Common Factor of 2128/841, 6958/7989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2128/841, 6958/7989

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 2128/841,6958/7989

Given fractions are 2128/841,6958/7989

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 2128,6958

Greatest Common Factor of Numerators i.e. GCF of 2128,6958 is 14 .

LCM of Denominators means LCM of 841,7989 as per the given fractions.

LCM of 841,7989 is 6718749 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2128,6958

GCF of Fractions 2128/841,6958/7989 is 14/6718749

2 2128, 6958
7 1064, 3479
152, 497

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 2128,6958 By Matching Biggest Common Factor Method

Greatest Common Factor of 2128,6958 By Matching Biggest Common Factor Method

Factors of 2128

List of positive integer factors of 2128 that divides 2128 without a remainder.

1,2,4,7,8,14,16,19,28,38,56,76,112,133,152,266,304,532,1064,2128

Factors of 6958

List of positive integer factors of 6958 that divides 6958 without a remainder.

1,2,7,14,49,71,98,142,497,994,3479,6958

Greatest Common Factor

We found the factors 2128,6958 . The biggest common factor number is the GCF number.
So the greatest common factor 2128,6958 is 14.

Lets's calculate LCM of 841,7989

Given numbers has no common factors except 1. So, there LCM is their product i.e 6718749

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/6718749

Therefore, the GCF of Fractions 2128/841,6958/7989 is 14/6718749

Least Common Multiple of 841,7989 with GCF Formula

Least Common Multiple of 841,7989 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 841,7989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(841,7989) = 1

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

GCF(841,7989) x common factors =1 x 1 = 1

LCM(841,7989) = ( 841 × 7989 ) / 1

LCM(841,7989) = 6718749 / 1

LCM(841,7989) = 6718749


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 2128/841, 6958/7989

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 2128/841, 6958/7989?

Answer: GCF of Numerators as per given numbers 2128/841, 6958/7989 is

GCF of Numerators i.e. for 2128,6958 is 14

LCM of denominators i.e. for 841,7989 is 6718749.

Thus, GCF of Fractions is 14/6718749.Finally, GCF of Fractions for 2128/841, 6958/7989 is 14/6718749.