Greatest Common Factor of 6987/964, 3184/1385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6987/964, 3184/1385

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 6987/964,3184/1385

Given fractions are 6987/964,3184/1385

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 6987,3184

Greatest Common Factor of Numerators i.e. GCF of 6987,3184 is 1 .

LCM of Denominators means LCM of 964,1385 as per the given fractions.

LCM of 964,1385 is 1335140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6987,3184

GCF of Fractions 6987/964,3184/1385 is 1/1335140

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

Greatest Common Factor of 6987,3184 By Matching Biggest Common Factor Method

Greatest Common Factor of 6987,3184 By Matching Biggest Common Factor Method

Factors of 6987

List of positive integer factors of 6987 that divides 6987 without a remainder.

1,3,17,51,137,411,2329,6987

Factors of 3184

List of positive integer factors of 3184 that divides 3184 without a remainder.

1,2,4,8,16,199,398,796,1592,3184

Greatest Common Factor

We found the factors 6987,3184 . The biggest common factor number is the GCF number.
So the greatest common factor 6987,3184 is 1.

Lets's calculate LCM of 964,1385

Given numbers has no common factors except 1. So, there LCM is their product i.e 1335140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1335140

Therefore, the GCF of Fractions 6987/964,3184/1385 is 1/1335140

Least Common Multiple of 964,1385 with GCF Formula

Least Common Multiple of 964,1385 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 964,1385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(964,1385) = 1

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

GCF(964,1385) x common factors =1 x 1 = 1

LCM(964,1385) = ( 964 × 1385 ) / 1

LCM(964,1385) = 1335140 / 1

LCM(964,1385) = 1335140


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 6987/964, 3184/1385

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 6987/964, 3184/1385?

Answer: GCF of Numerators as per given numbers 6987/964, 3184/1385 is

GCF of Numerators i.e. for 6987,3184 is 1

LCM of denominators i.e. for 964,1385 is 1335140.

Thus, GCF of Fractions is 1/1335140.Finally, GCF of Fractions for 6987/964, 3184/1385 is 1/1335140.