Greatest Common Factor of 1029/536, 4540/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1029/536, 4540/834

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 1029/536,4540/834

Given fractions are 1029/536,4540/834

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 1029,4540

Greatest Common Factor of Numerators i.e. GCF of 1029,4540 is 1 .

LCM of Denominators means LCM of 536,834 as per the given fractions.

LCM of 536,834 is 223512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1029,4540

GCF of Fractions 1029/536,4540/834 is 1/223512

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

Greatest Common Factor of 1029,4540 By Matching Biggest Common Factor Method

Greatest Common Factor of 1029,4540 By Matching Biggest Common Factor Method

Factors of 1029

List of positive integer factors of 1029 that divides 1029 without a remainder.

1,3,7,21,49,147,343,1029

Factors of 4540

List of positive integer factors of 4540 that divides 4540 without a remainder.

1,2,4,5,10,20,227,454,908,1135,2270,4540

Greatest Common Factor

We found the factors 1029,4540 . The biggest common factor number is the GCF number.
So the greatest common factor 1029,4540 is 1.

Lets's calculate LCM of 536,834

2 536, 834
268, 417

∴ So the LCM of the given numbers is 2 x 268 x 417 = 223512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/223512

Therefore, the GCF of Fractions 1029/536,4540/834 is 1/223512

Least Common Multiple of 536,834 with GCF Formula

Least Common Multiple of 536,834 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 536,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(536,834) = 2

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

GCF(536,834) x common factors =2 x 1 = 2

LCM(536,834) = ( 536 × 834 ) / 2

LCM(536,834) = 447024 / 2

LCM(536,834) = 223512


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 1029/536, 4540/834

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 1029/536, 4540/834?

Answer: GCF of Numerators as per given numbers 1029/536, 4540/834 is

GCF of Numerators i.e. for 1029,4540 is 1

LCM of denominators i.e. for 536,834 is 223512.

Thus, GCF of Fractions is 1/223512.Finally, GCF of Fractions for 1029/536, 4540/834 is 1/223512.