Greatest Common Factor of 982/314, 7768/719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 982/314, 7768/719

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 982/314,7768/719

Given fractions are 982/314,7768/719

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 982,7768

Greatest Common Factor of Numerators i.e. GCF of 982,7768 is 2 .

LCM of Denominators means LCM of 314,719 as per the given fractions.

LCM of 314,719 is 225766 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 982,7768

GCF of Fractions 982/314,7768/719 is 2/225766

2 982, 7768
491, 3884

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

Greatest Common Factor of 982,7768 By Matching Biggest Common Factor Method

Greatest Common Factor of 982,7768 By Matching Biggest Common Factor Method

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Factors of 7768

List of positive integer factors of 7768 that divides 7768 without a remainder.

1,2,4,8,971,1942,3884,7768

Greatest Common Factor

We found the factors 982,7768 . The biggest common factor number is the GCF number.
So the greatest common factor 982,7768 is 2.

Lets's calculate LCM of 314,719

Given numbers has no common factors except 1. So, there LCM is their product i.e 225766

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/225766

Therefore, the GCF of Fractions 982/314,7768/719 is 2/225766

Least Common Multiple of 314,719 with GCF Formula

Least Common Multiple of 314,719 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 314,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,719) = 1

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

GCF(314,719) x common factors =1 x 1 = 1

LCM(314,719) = ( 314 × 719 ) / 1

LCM(314,719) = 225766 / 1

LCM(314,719) = 225766


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 982/314, 7768/719

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 982/314, 7768/719?

Answer: GCF of Numerators as per given numbers 982/314, 7768/719 is

GCF of Numerators i.e. for 982,7768 is 2

LCM of denominators i.e. for 314,719 is 225766.

Thus, GCF of Fractions is 2/225766.Finally, GCF of Fractions for 982/314, 7768/719 is 2/225766.