Greatest Common Factor of 4226/361, 3685/7696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4226/361, 3685/7696

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 4226/361,3685/7696

Given fractions are 4226/361,3685/7696

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 4226,3685

Greatest Common Factor of Numerators i.e. GCF of 4226,3685 is 1 .

LCM of Denominators means LCM of 361,7696 as per the given fractions.

LCM of 361,7696 is 2778256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4226,3685

GCF of Fractions 4226/361,3685/7696 is 1/2778256

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

Greatest Common Factor of 4226,3685 By Matching Biggest Common Factor Method

Greatest Common Factor of 4226,3685 By Matching Biggest Common Factor Method

Factors of 4226

List of positive integer factors of 4226 that divides 4226 without a remainder.

1,2,2113,4226

Factors of 3685

List of positive integer factors of 3685 that divides 3685 without a remainder.

1,5,11,55,67,335,737,3685

Greatest Common Factor

We found the factors 4226,3685 . The biggest common factor number is the GCF number.
So the greatest common factor 4226,3685 is 1.

Lets's calculate LCM of 361,7696

Given numbers has no common factors except 1. So, there LCM is their product i.e 2778256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2778256

Therefore, the GCF of Fractions 4226/361,3685/7696 is 1/2778256

Least Common Multiple of 361,7696 with GCF Formula

Least Common Multiple of 361,7696 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 361,7696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(361,7696) = 1

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

GCF(361,7696) x common factors =1 x 1 = 1

LCM(361,7696) = ( 361 × 7696 ) / 1

LCM(361,7696) = 2778256 / 1

LCM(361,7696) = 2778256


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 4226/361, 3685/7696

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 4226/361, 3685/7696?

Answer: GCF of Numerators as per given numbers 4226/361, 3685/7696 is

GCF of Numerators i.e. for 4226,3685 is 1

LCM of denominators i.e. for 361,7696 is 2778256.

Thus, GCF of Fractions is 1/2778256.Finally, GCF of Fractions for 4226/361, 3685/7696 is 1/2778256.