Greatest Common Factor of 897/640, 4439/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 897/640, 4439/685

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 897/640,4439/685

Given fractions are 897/640,4439/685

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 897,4439

Greatest Common Factor of Numerators i.e. GCF of 897,4439 is 23 .

LCM of Denominators means LCM of 640,685 as per the given fractions.

LCM of 640,685 is 87680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 897,4439

GCF of Fractions 897/640,4439/685 is 23/87680

23 897, 4439
39, 193

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 897,4439 By Matching Biggest Common Factor Method

Greatest Common Factor of 897,4439 By Matching Biggest Common Factor Method

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Factors of 4439

List of positive integer factors of 4439 that divides 4439 without a remainder.

1,23,193,4439

Greatest Common Factor

We found the factors 897,4439 . The biggest common factor number is the GCF number.
So the greatest common factor 897,4439 is 23.

Lets's calculate LCM of 640,685

5 640, 685
128, 137

∴ So the LCM of the given numbers is 5 x 128 x 137 = 87680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/87680

Therefore, the GCF of Fractions 897/640,4439/685 is 23/87680

Least Common Multiple of 640,685 with GCF Formula

Least Common Multiple of 640,685 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 640,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(640,685) = 5

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

GCF(640,685) x common factors =5 x 1 = 5

LCM(640,685) = ( 640 × 685 ) / 5

LCM(640,685) = 438400 / 5

LCM(640,685) = 87680


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 897/640, 4439/685

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 897/640, 4439/685?

Answer: GCF of Numerators as per given numbers 897/640, 4439/685 is

GCF of Numerators i.e. for 897,4439 is 23

LCM of denominators i.e. for 640,685 is 87680.

Thus, GCF of Fractions is 23/87680.Finally, GCF of Fractions for 897/640, 4439/685 is 23/87680.