Greatest Common Factor of 2224/969, 4507/5859

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2224/969, 4507/5859

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 2224/969,4507/5859

Given fractions are 2224/969,4507/5859

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 2224,4507

Greatest Common Factor of Numerators i.e. GCF of 2224,4507 is 1 .

LCM of Denominators means LCM of 969,5859 as per the given fractions.

LCM of 969,5859 is 1892457 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2224,4507

GCF of Fractions 2224/969,4507/5859 is 1/1892457

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

Greatest Common Factor of 2224,4507 By Matching Biggest Common Factor Method

Greatest Common Factor of 2224,4507 By Matching Biggest Common Factor Method

Factors of 2224

List of positive integer factors of 2224 that divides 2224 without a remainder.

1,2,4,8,16,139,278,556,1112,2224

Factors of 4507

List of positive integer factors of 4507 that divides 4507 without a remainder.

1,4507

Greatest Common Factor

We found the factors 2224,4507 . The biggest common factor number is the GCF number.
So the greatest common factor 2224,4507 is 1.

Lets's calculate LCM of 969,5859

3 969, 5859
323, 1953

∴ So the LCM of the given numbers is 3 x 323 x 1953 = 1892457

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1892457

Therefore, the GCF of Fractions 2224/969,4507/5859 is 1/1892457

Least Common Multiple of 969,5859 with GCF Formula

Least Common Multiple of 969,5859 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 969,5859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,5859) = 3

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

GCF(969,5859) x common factors =3 x 1 = 3

LCM(969,5859) = ( 969 × 5859 ) / 3

LCM(969,5859) = 5677371 / 3

LCM(969,5859) = 1892457


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 2224/969, 4507/5859

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 2224/969, 4507/5859?

Answer: GCF of Numerators as per given numbers 2224/969, 4507/5859 is

GCF of Numerators i.e. for 2224,4507 is 1

LCM of denominators i.e. for 969,5859 is 1892457.

Thus, GCF of Fractions is 1/1892457.Finally, GCF of Fractions for 2224/969, 4507/5859 is 1/1892457.