Greatest Common Factor of 968/69, 719/787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 968/69, 719/787

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 968/69,719/787

Given fractions are 968/69,719/787

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 968,719

Greatest Common Factor of Numerators i.e. GCF of 968,719 is 1 .

LCM of Denominators means LCM of 69,787 as per the given fractions.

LCM of 69,787 is 54303 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 968,719

GCF of Fractions 968/69,719/787 is 1/54303

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

Greatest Common Factor of 968,719 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,719 By Matching Biggest Common Factor Method

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Greatest Common Factor

We found the factors 968,719 . The biggest common factor number is the GCF number.
So the greatest common factor 968,719 is 1.


Lets's calculate LCM of 69,787

Given numbers has no common factors except 1. So, there LCM is their product i.e 54303

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54303

Therefore, the GCF of Fractions 968/69,719/787 is 1/54303

Least Common Multiple of 69,787 with GCF Formula

Least Common Multiple of 69,787 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 69,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,787) = 1

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

GCF(69,787) x common factors =1 x 1 = 1

LCM(69,787) = ( 69 × 787 ) / 1

LCM(69,787) = 54303 / 1

LCM(69,787) = 54303


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 968/69, 719/787

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 968/69, 719/787?

Answer: GCF of Numerators as per given numbers 968/69, 719/787 is

GCF of Numerators i.e. for 968,719 is 1

LCM of denominators i.e. for 69,787 is 54303.

Thus, GCF of Fractions is 1/54303.Finally, GCF of Fractions for 968/69, 719/787 is 1/54303.