Greatest Common Factor of 787/689, 6964/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 787/689, 6964/221

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 787/689,6964/221

Given fractions are 787/689,6964/221

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 787,6964

Greatest Common Factor of Numerators i.e. GCF of 787,6964 is 1 .

LCM of Denominators means LCM of 689,221 as per the given fractions.

LCM of 689,221 is 11713 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 787,6964

GCF of Fractions 787/689,6964/221 is 1/11713

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

Greatest Common Factor of 787,6964 By Matching Biggest Common Factor Method

Greatest Common Factor of 787,6964 By Matching Biggest Common Factor Method

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Factors of 6964

List of positive integer factors of 6964 that divides 6964 without a remainder.

1,2,4,1741,3482,6964

Greatest Common Factor

We found the factors 787,6964 . The biggest common factor number is the GCF number.
So the greatest common factor 787,6964 is 1.

Lets's calculate LCM of 689,221

13 689, 221
53, 17

∴ So the LCM of the given numbers is 13 x 53 x 17 = 11713

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11713

Therefore, the GCF of Fractions 787/689,6964/221 is 1/11713

Least Common Multiple of 689,221 with GCF Formula

Least Common Multiple of 689,221 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 689,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,221) = 13

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

GCF(689,221) x common factors =13 x 1 = 13

LCM(689,221) = ( 689 × 221 ) / 13

LCM(689,221) = 152269 / 13

LCM(689,221) = 11713


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 787/689, 6964/221

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 787/689, 6964/221?

Answer: GCF of Numerators as per given numbers 787/689, 6964/221 is

GCF of Numerators i.e. for 787,6964 is 1

LCM of denominators i.e. for 689,221 is 11713.

Thus, GCF of Fractions is 1/11713.Finally, GCF of Fractions for 787/689, 6964/221 is 1/11713.