Greatest Common Factor of 2064/135, 8031/434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2064/135, 8031/434

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 2064/135,8031/434

Given fractions are 2064/135,8031/434

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 2064,8031

Greatest Common Factor of Numerators i.e. GCF of 2064,8031 is 3 .

LCM of Denominators means LCM of 135,434 as per the given fractions.

LCM of 135,434 is 58590 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2064,8031

GCF of Fractions 2064/135,8031/434 is 3/58590

3 2064, 8031
688, 2677

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

Greatest Common Factor of 2064,8031 By Matching Biggest Common Factor Method

Greatest Common Factor of 2064,8031 By Matching Biggest Common Factor Method

Factors of 2064

List of positive integer factors of 2064 that divides 2064 without a remainder.

1,2,3,4,6,8,12,16,24,43,48,86,129,172,258,344,516,688,1032,2064

Factors of 8031

List of positive integer factors of 8031 that divides 8031 without a remainder.

1,3,2677,8031

Greatest Common Factor

We found the factors 2064,8031 . The biggest common factor number is the GCF number.
So the greatest common factor 2064,8031 is 3.

Lets's calculate LCM of 135,434

Given numbers has no common factors except 1. So, there LCM is their product i.e 58590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/58590

Therefore, the GCF of Fractions 2064/135,8031/434 is 3/58590

Least Common Multiple of 135,434 with GCF Formula

Least Common Multiple of 135,434 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 135,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,434) = 1

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

GCF(135,434) x common factors =1 x 1 = 1

LCM(135,434) = ( 135 × 434 ) / 1

LCM(135,434) = 58590 / 1

LCM(135,434) = 58590


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 2064/135, 8031/434

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 2064/135, 8031/434?

Answer: GCF of Numerators as per given numbers 2064/135, 8031/434 is

GCF of Numerators i.e. for 2064,8031 is 3

LCM of denominators i.e. for 135,434 is 58590.

Thus, GCF of Fractions is 3/58590.Finally, GCF of Fractions for 2064/135, 8031/434 is 3/58590.