Greatest Common Factor of 4700/991, 3659/6078

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4700/991, 3659/6078

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 4700/991,3659/6078

Given fractions are 4700/991,3659/6078

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 4700,3659

Greatest Common Factor of Numerators i.e. GCF of 4700,3659 is 1 .

LCM of Denominators means LCM of 991,6078 as per the given fractions.

LCM of 991,6078 is 6023298 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4700,3659

GCF of Fractions 4700/991,3659/6078 is 1/6023298

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

Greatest Common Factor of 4700,3659 By Matching Biggest Common Factor Method

Greatest Common Factor of 4700,3659 By Matching Biggest Common Factor Method

Factors of 4700

List of positive integer factors of 4700 that divides 4700 without a remainder.

1,2,4,5,10,20,25,47,50,94,100,188,235,470,940,1175,2350,4700

Factors of 3659

List of positive integer factors of 3659 that divides 3659 without a remainder.

1,3659

Greatest Common Factor

We found the factors 4700,3659 . The biggest common factor number is the GCF number.
So the greatest common factor 4700,3659 is 1.

Lets's calculate LCM of 991,6078

Given numbers has no common factors except 1. So, there LCM is their product i.e 6023298

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6023298

Therefore, the GCF of Fractions 4700/991,3659/6078 is 1/6023298

Least Common Multiple of 991,6078 with GCF Formula

Least Common Multiple of 991,6078 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 991,6078 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(991,6078) = 1

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

GCF(991,6078) x common factors =1 x 1 = 1

LCM(991,6078) = ( 991 × 6078 ) / 1

LCM(991,6078) = 6023298 / 1

LCM(991,6078) = 6023298


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 4700/991, 3659/6078

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 4700/991, 3659/6078?

Answer: GCF of Numerators as per given numbers 4700/991, 3659/6078 is

GCF of Numerators i.e. for 4700,3659 is 1

LCM of denominators i.e. for 991,6078 is 6023298.

Thus, GCF of Fractions is 1/6023298.Finally, GCF of Fractions for 4700/991, 3659/6078 is 1/6023298.