Greatest Common Factor of 883/44, 1584/653

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 883/44, 1584/653

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 883/44,1584/653

Given fractions are 883/44,1584/653

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 883,1584

Greatest Common Factor of Numerators i.e. GCF of 883,1584 is 1 .

LCM of Denominators means LCM of 44,653 as per the given fractions.

LCM of 44,653 is 28732 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 883,1584

GCF of Fractions 883/44,1584/653 is 1/28732

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

Greatest Common Factor of 883,1584 By Matching Biggest Common Factor Method

Greatest Common Factor of 883,1584 By Matching Biggest Common Factor Method

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1,883

Factors of 1584

List of positive integer factors of 1584 that divides 1584 without a remainder.

1,2,3,4,6,8,9,11,12,16,18,22,24,33,36,44,48,66,72,88,99,132,144,176,198,264,396,528,792,1584

Greatest Common Factor

We found the factors 883,1584 . The biggest common factor number is the GCF number.
So the greatest common factor 883,1584 is 1.

Lets's calculate LCM of 44,653

Given numbers has no common factors except 1. So, there LCM is their product i.e 28732

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28732

Therefore, the GCF of Fractions 883/44,1584/653 is 1/28732

Least Common Multiple of 44,653 with GCF Formula

Least Common Multiple of 44,653 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 44,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,653) = 1

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

GCF(44,653) x common factors =1 x 1 = 1

LCM(44,653) = ( 44 × 653 ) / 1

LCM(44,653) = 28732 / 1

LCM(44,653) = 28732


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 883/44, 1584/653

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 883/44, 1584/653?

Answer: GCF of Numerators as per given numbers 883/44, 1584/653 is

GCF of Numerators i.e. for 883,1584 is 1

LCM of denominators i.e. for 44,653 is 28732.

Thus, GCF of Fractions is 1/28732.Finally, GCF of Fractions for 883/44, 1584/653 is 1/28732.