Greatest Common Factor of 4667/29, 3714/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4667/29, 3714/400

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 4667/29,3714/400

Given fractions are 4667/29,3714/400

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 4667,3714

Greatest Common Factor of Numerators i.e. GCF of 4667,3714 is 1 .

LCM of Denominators means LCM of 29,400 as per the given fractions.

LCM of 29,400 is 11600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4667,3714

GCF of Fractions 4667/29,3714/400 is 1/11600

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

Greatest Common Factor of 4667,3714 By Matching Biggest Common Factor Method

Greatest Common Factor of 4667,3714 By Matching Biggest Common Factor Method

Factors of 4667

List of positive integer factors of 4667 that divides 4667 without a remainder.

1,13,359,4667

Factors of 3714

List of positive integer factors of 3714 that divides 3714 without a remainder.

1,2,3,6,619,1238,1857,3714

Greatest Common Factor

We found the factors 4667,3714 . The biggest common factor number is the GCF number.
So the greatest common factor 4667,3714 is 1.

Lets's calculate LCM of 29,400

Given numbers has no common factors except 1. So, there LCM is their product i.e 11600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11600

Therefore, the GCF of Fractions 4667/29,3714/400 is 1/11600

Least Common Multiple of 29,400 with GCF Formula

Least Common Multiple of 29,400 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 29,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,400) = 1

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

GCF(29,400) x common factors =1 x 1 = 1

LCM(29,400) = ( 29 × 400 ) / 1

LCM(29,400) = 11600 / 1

LCM(29,400) = 11600


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 4667/29, 3714/400

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 4667/29, 3714/400?

Answer: GCF of Numerators as per given numbers 4667/29, 3714/400 is

GCF of Numerators i.e. for 4667,3714 is 1

LCM of denominators i.e. for 29,400 is 11600.

Thus, GCF of Fractions is 1/11600.Finally, GCF of Fractions for 4667/29, 3714/400 is 1/11600.