Greatest Common Factor of 982/964, 3405/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 982/964, 3405/297

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 982/964,3405/297

Given fractions are 982/964,3405/297

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 982,3405

Greatest Common Factor of Numerators i.e. GCF of 982,3405 is 1 .

LCM of Denominators means LCM of 964,297 as per the given fractions.

LCM of 964,297 is 286308 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 982,3405

GCF of Fractions 982/964,3405/297 is 1/286308

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

Greatest Common Factor of 982,3405 By Matching Biggest Common Factor Method

Greatest Common Factor of 982,3405 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 3405

List of positive integer factors of 3405 that divides 3405 without a remainder.

1,3,5,15,227,681,1135,3405

Greatest Common Factor

We found the factors 982,3405 . The biggest common factor number is the GCF number.
So the greatest common factor 982,3405 is 1.

Lets's calculate LCM of 964,297

Given numbers has no common factors except 1. So, there LCM is their product i.e 286308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/286308

Therefore, the GCF of Fractions 982/964,3405/297 is 1/286308

Least Common Multiple of 964,297 with GCF Formula

Least Common Multiple of 964,297 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 964,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(964,297) = 1

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

GCF(964,297) x common factors =1 x 1 = 1

LCM(964,297) = ( 964 × 297 ) / 1

LCM(964,297) = 286308 / 1

LCM(964,297) = 286308


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 982/964, 3405/297

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 982/964, 3405/297?

Answer: GCF of Numerators as per given numbers 982/964, 3405/297 is

GCF of Numerators i.e. for 982,3405 is 1

LCM of denominators i.e. for 964,297 is 286308.

Thus, GCF of Fractions is 1/286308.Finally, GCF of Fractions for 982/964, 3405/297 is 1/286308.