Greatest Common Factor of 3478/52, 2129/599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3478/52, 2129/599

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 3478/52,2129/599

Given fractions are 3478/52,2129/599

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 3478,2129

Greatest Common Factor of Numerators i.e. GCF of 3478,2129 is 1 .

LCM of Denominators means LCM of 52,599 as per the given fractions.

LCM of 52,599 is 31148 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3478,2129

GCF of Fractions 3478/52,2129/599 is 1/31148

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

Greatest Common Factor of 3478,2129 By Matching Biggest Common Factor Method

Greatest Common Factor of 3478,2129 By Matching Biggest Common Factor Method

Factors of 3478

List of positive integer factors of 3478 that divides 3478 without a remainder.

1,2,37,47,74,94,1739,3478

Factors of 2129

List of positive integer factors of 2129 that divides 2129 without a remainder.

1,2129

Greatest Common Factor

We found the factors 3478,2129 . The biggest common factor number is the GCF number.
So the greatest common factor 3478,2129 is 1.

Lets's calculate LCM of 52,599

Given numbers has no common factors except 1. So, there LCM is their product i.e 31148

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31148

Therefore, the GCF of Fractions 3478/52,2129/599 is 1/31148

Least Common Multiple of 52,599 with GCF Formula

Least Common Multiple of 52,599 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 52,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,599) = 1

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

GCF(52,599) x common factors =1 x 1 = 1

LCM(52,599) = ( 52 × 599 ) / 1

LCM(52,599) = 31148 / 1

LCM(52,599) = 31148


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 3478/52, 2129/599

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 3478/52, 2129/599?

Answer: GCF of Numerators as per given numbers 3478/52, 2129/599 is

GCF of Numerators i.e. for 3478,2129 is 1

LCM of denominators i.e. for 52,599 is 31148.

Thus, GCF of Fractions is 1/31148.Finally, GCF of Fractions for 3478/52, 2129/599 is 1/31148.