Greatest Common Factor of 3429/796, 6537/4735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3429/796, 6537/4735

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 3429/796,6537/4735

Given fractions are 3429/796,6537/4735

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 3429,6537

Greatest Common Factor of Numerators i.e. GCF of 3429,6537 is 3 .

LCM of Denominators means LCM of 796,4735 as per the given fractions.

LCM of 796,4735 is 3769060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3429,6537

GCF of Fractions 3429/796,6537/4735 is 3/3769060

3 3429, 6537
1143, 2179

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

Greatest Common Factor of 3429,6537 By Matching Biggest Common Factor Method

Greatest Common Factor of 3429,6537 By Matching Biggest Common Factor Method

Factors of 3429

List of positive integer factors of 3429 that divides 3429 without a remainder.

1,3,9,27,127,381,1143,3429

Factors of 6537

List of positive integer factors of 6537 that divides 6537 without a remainder.

1,3,2179,6537

Greatest Common Factor

We found the factors 3429,6537 . The biggest common factor number is the GCF number.
So the greatest common factor 3429,6537 is 3.

Lets's calculate LCM of 796,4735

Given numbers has no common factors except 1. So, there LCM is their product i.e 3769060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3769060

Therefore, the GCF of Fractions 3429/796,6537/4735 is 3/3769060

Least Common Multiple of 796,4735 with GCF Formula

Least Common Multiple of 796,4735 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 796,4735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(796,4735) = 1

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

GCF(796,4735) x common factors =1 x 1 = 1

LCM(796,4735) = ( 796 × 4735 ) / 1

LCM(796,4735) = 3769060 / 1

LCM(796,4735) = 3769060


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 3429/796, 6537/4735

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 3429/796, 6537/4735?

Answer: GCF of Numerators as per given numbers 3429/796, 6537/4735 is

GCF of Numerators i.e. for 3429,6537 is 3

LCM of denominators i.e. for 796,4735 is 3769060.

Thus, GCF of Fractions is 3/3769060.Finally, GCF of Fractions for 3429/796, 6537/4735 is 3/3769060.