Greatest Common Factor of 83/43, 28/759, 320/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/43, 28/759, 320/630

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 83/43,28/759,320/630

Given fractions are 83/43,28/759,320/630

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 83,28,320

Greatest Common Factor of Numerators i.e. GCF of 83,28,320 is 1 .

LCM of Denominators means LCM of 43,759,630 as per the given fractions.

LCM of 43,759,630 is 6853770 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,28,320

GCF of Fractions 83/43,28/759,320/630 is 1/6853770

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

Greatest Common Factor of 83,28,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,28,320 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 83,28,320 . The biggest common factor number is the GCF number.
So the greatest common factor 83,28,320 is 1.

Lets's calculate LCM of 43,759,630

3 43, 759, 630
43, 253, 210

∴ So the LCM of the given numbers is 3 x 43 x 253 x 210 = 6853770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6853770

Therefore, the GCF of Fractions 83/43,28/759,320/630 is 1/6853770

Least Common Multiple of 43,759,630 with GCF Formula

Least Common Multiple of 43,759,630 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 43,759,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,759,630) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(43,759,630) x common factors =1 x 3 = 3

LCM(43,759,630) = ( 43 × 759 × 630 ) / 3

LCM(43,759,630) = 20561310 / 3

LCM(43,759,630) = 6853770


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 83/43, 28/759, 320/630

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 83/43, 28/759, 320/630?

Answer: GCF of Numerators as per given numbers 83/43, 28/759, 320/630 is

GCF of Numerators i.e. for 83,28,320 is 1

LCM of denominators i.e. for 43,759,630 is 6853770.

Thus, GCF of Fractions is 1/6853770.Finally, GCF of Fractions for 83/43, 28/759, 320/630 is 1/6853770.