Greatest Common Factor of 2684/984, 4075/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2684/984, 4075/961

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 2684/984,4075/961

Given fractions are 2684/984,4075/961

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 2684,4075

Greatest Common Factor of Numerators i.e. GCF of 2684,4075 is 1 .

LCM of Denominators means LCM of 984,961 as per the given fractions.

LCM of 984,961 is 945624 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2684,4075

GCF of Fractions 2684/984,4075/961 is 1/945624

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

Greatest Common Factor of 2684,4075 By Matching Biggest Common Factor Method

Greatest Common Factor of 2684,4075 By Matching Biggest Common Factor Method

Factors of 2684

List of positive integer factors of 2684 that divides 2684 without a remainder.

1,2,4,11,22,44,61,122,244,671,1342,2684

Factors of 4075

List of positive integer factors of 4075 that divides 4075 without a remainder.

1,5,25,163,815,4075

Greatest Common Factor

We found the factors 2684,4075 . The biggest common factor number is the GCF number.
So the greatest common factor 2684,4075 is 1.

Lets's calculate LCM of 984,961

Given numbers has no common factors except 1. So, there LCM is their product i.e 945624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/945624

Therefore, the GCF of Fractions 2684/984,4075/961 is 1/945624

Least Common Multiple of 984,961 with GCF Formula

Least Common Multiple of 984,961 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 984,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,961) = 1

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

GCF(984,961) x common factors =1 x 1 = 1

LCM(984,961) = ( 984 × 961 ) / 1

LCM(984,961) = 945624 / 1

LCM(984,961) = 945624


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 2684/984, 4075/961

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 2684/984, 4075/961?

Answer: GCF of Numerators as per given numbers 2684/984, 4075/961 is

GCF of Numerators i.e. for 2684,4075 is 1

LCM of denominators i.e. for 984,961 is 945624.

Thus, GCF of Fractions is 1/945624.Finally, GCF of Fractions for 2684/984, 4075/961 is 1/945624.