Greatest Common Factor of 3791/467, 4492/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3791/467, 4492/825

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 3791/467,4492/825

Given fractions are 3791/467,4492/825

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 3791,4492

Greatest Common Factor of Numerators i.e. GCF of 3791,4492 is 1 .

LCM of Denominators means LCM of 467,825 as per the given fractions.

LCM of 467,825 is 385275 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3791,4492

GCF of Fractions 3791/467,4492/825 is 1/385275

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

Greatest Common Factor of 3791,4492 By Matching Biggest Common Factor Method

Greatest Common Factor of 3791,4492 By Matching Biggest Common Factor Method

Factors of 3791

List of positive integer factors of 3791 that divides 3791 without a remainder.

1,17,223,3791

Factors of 4492

List of positive integer factors of 4492 that divides 4492 without a remainder.

1,2,4,1123,2246,4492

Greatest Common Factor

We found the factors 3791,4492 . The biggest common factor number is the GCF number.
So the greatest common factor 3791,4492 is 1.

Lets's calculate LCM of 467,825

Given numbers has no common factors except 1. So, there LCM is their product i.e 385275

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/385275

Therefore, the GCF of Fractions 3791/467,4492/825 is 1/385275

Least Common Multiple of 467,825 with GCF Formula

Least Common Multiple of 467,825 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 467,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(467,825) = 1

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

GCF(467,825) x common factors =1 x 1 = 1

LCM(467,825) = ( 467 × 825 ) / 1

LCM(467,825) = 385275 / 1

LCM(467,825) = 385275


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 3791/467, 4492/825

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 3791/467, 4492/825?

Answer: GCF of Numerators as per given numbers 3791/467, 4492/825 is

GCF of Numerators i.e. for 3791,4492 is 1

LCM of denominators i.e. for 467,825 is 385275.

Thus, GCF of Fractions is 1/385275.Finally, GCF of Fractions for 3791/467, 4492/825 is 1/385275.