Greatest Common Factor of 530/238, 200/798, 983/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 530/238, 200/798, 983/944

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 530/238,200/798,983/944

Given fractions are 530/238,200/798,983/944

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 530,200,983

Greatest Common Factor of Numerators i.e. GCF of 530,200,983 is 1 .

LCM of Denominators means LCM of 238,798,944 as per the given fractions.

LCM of 238,798,944 is 6403152 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 530,200,983

GCF of Fractions 530/238,200/798,983/944 is 1/6403152

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

Greatest Common Factor of 530,200,983 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,200,983 By Matching Biggest Common Factor Method

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Greatest Common Factor

We found the factors 530,200,983 . The biggest common factor number is the GCF number.
So the greatest common factor 530,200,983 is 1.

Lets's calculate LCM of 238,798,944

2 238, 798, 944
7 119, 399, 472
17, 57, 472

∴ So the LCM of the given numbers is 2 x 7 x 17 x 57 x 472 = 6403152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6403152

Therefore, the GCF of Fractions 530/238,200/798,983/944 is 1/6403152

Least Common Multiple of 238,798,944 with GCF Formula

Least Common Multiple of 238,798,944 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 238,798,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,798,944) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(238,798,944) x common factors =2 x 14 = 28

LCM(238,798,944) = ( 238 × 798 × 944 ) / 28

LCM(238,798,944) = 179288256 / 28

LCM(238,798,944) = 6403152


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 530/238, 200/798, 983/944

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 530/238, 200/798, 983/944?

Answer: GCF of Numerators as per given numbers 530/238, 200/798, 983/944 is

GCF of Numerators i.e. for 530,200,983 is 1

LCM of denominators i.e. for 238,798,944 is 6403152.

Thus, GCF of Fractions is 1/6403152.Finally, GCF of Fractions for 530/238, 200/798, 983/944 is 1/6403152.