Greatest Common Factor of 534/140, 4155/836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 534/140, 4155/836

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 534/140,4155/836

Given fractions are 534/140,4155/836

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 534,4155

Greatest Common Factor of Numerators i.e. GCF of 534,4155 is 3 .

LCM of Denominators means LCM of 140,836 as per the given fractions.

LCM of 140,836 is 29260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 534,4155

GCF of Fractions 534/140,4155/836 is 3/29260

3 534, 4155
178, 1385

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 534,4155 By Matching Biggest Common Factor Method

Greatest Common Factor of 534,4155 By Matching Biggest Common Factor Method

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Factors of 4155

List of positive integer factors of 4155 that divides 4155 without a remainder.

1,3,5,15,277,831,1385,4155

Greatest Common Factor

We found the factors 534,4155 . The biggest common factor number is the GCF number.
So the greatest common factor 534,4155 is 3.

Lets's calculate LCM of 140,836

2 140, 836
2 70, 418
35, 209

∴ So the LCM of the given numbers is 2 x 2 x 35 x 209 = 29260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/29260

Therefore, the GCF of Fractions 534/140,4155/836 is 3/29260

Least Common Multiple of 140,836 with GCF Formula

Least Common Multiple of 140,836 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 140,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,836) = 4

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

GCF(140,836) x common factors =4 x 1 = 4

LCM(140,836) = ( 140 × 836 ) / 4

LCM(140,836) = 117040 / 4

LCM(140,836) = 29260


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 534/140, 4155/836

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 534/140, 4155/836?

Answer: GCF of Numerators as per given numbers 534/140, 4155/836 is

GCF of Numerators i.e. for 534,4155 is 3

LCM of denominators i.e. for 140,836 is 29260.

Thus, GCF of Fractions is 3/29260.Finally, GCF of Fractions for 534/140, 4155/836 is 3/29260.