Greatest Common Factor of 529/983, 781/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 529/983, 781/284

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 529/983,781/284

Given fractions are 529/983,781/284

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 529,781

Greatest Common Factor of Numerators i.e. GCF of 529,781 is 1 .

LCM of Denominators means LCM of 983,284 as per the given fractions.

LCM of 983,284 is 279172 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 529,781

GCF of Fractions 529/983,781/284 is 1/279172

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

Greatest Common Factor of 529,781 By Matching Biggest Common Factor Method

Greatest Common Factor of 529,781 By Matching Biggest Common Factor Method

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Greatest Common Factor

We found the factors 529,781 . The biggest common factor number is the GCF number.
So the greatest common factor 529,781 is 1.

Lets's calculate LCM of 983,284

Given numbers has no common factors except 1. So, there LCM is their product i.e 279172

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/279172

Therefore, the GCF of Fractions 529/983,781/284 is 1/279172

Least Common Multiple of 983,284 with GCF Formula

Least Common Multiple of 983,284 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 983,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(983,284) = 1

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

GCF(983,284) x common factors =1 x 1 = 1

LCM(983,284) = ( 983 × 284 ) / 1

LCM(983,284) = 279172 / 1

LCM(983,284) = 279172


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 529/983, 781/284

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 529/983, 781/284?

Answer: GCF of Numerators as per given numbers 529/983, 781/284 is

GCF of Numerators i.e. for 529,781 is 1

LCM of denominators i.e. for 983,284 is 279172.

Thus, GCF of Fractions is 1/279172.Finally, GCF of Fractions for 529/983, 781/284 is 1/279172.