Greatest Common Factor of 896/713, 9290/583

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 896/713, 9290/583

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 896/713,9290/583

Given fractions are 896/713,9290/583

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 896,9290

Greatest Common Factor of Numerators i.e. GCF of 896,9290 is 2 .

LCM of Denominators means LCM of 713,583 as per the given fractions.

LCM of 713,583 is 415679 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 896,9290

GCF of Fractions 896/713,9290/583 is 2/415679

2 896, 9290
448, 4645

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

Greatest Common Factor of 896,9290 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,9290 By Matching Biggest Common Factor Method

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 9290

List of positive integer factors of 9290 that divides 9290 without a remainder.

1,2,5,10,929,1858,4645,9290

Greatest Common Factor

We found the factors 896,9290 . The biggest common factor number is the GCF number.
So the greatest common factor 896,9290 is 2.

Lets's calculate LCM of 713,583

Given numbers has no common factors except 1. So, there LCM is their product i.e 415679

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/415679

Therefore, the GCF of Fractions 896/713,9290/583 is 2/415679

Least Common Multiple of 713,583 with GCF Formula

Least Common Multiple of 713,583 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 713,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(713,583) = 1

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

GCF(713,583) x common factors =1 x 1 = 1

LCM(713,583) = ( 713 × 583 ) / 1

LCM(713,583) = 415679 / 1

LCM(713,583) = 415679


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 896/713, 9290/583

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 896/713, 9290/583?

Answer: GCF of Numerators as per given numbers 896/713, 9290/583 is

GCF of Numerators i.e. for 896,9290 is 2

LCM of denominators i.e. for 713,583 is 415679.

Thus, GCF of Fractions is 2/415679.Finally, GCF of Fractions for 896/713, 9290/583 is 2/415679.