Greatest Common Factor of 3806/52, 4454/207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3806/52, 4454/207

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 3806/52,4454/207

Given fractions are 3806/52,4454/207

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 3806,4454

Greatest Common Factor of Numerators i.e. GCF of 3806,4454 is 2 .

LCM of Denominators means LCM of 52,207 as per the given fractions.

LCM of 52,207 is 10764 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3806,4454

GCF of Fractions 3806/52,4454/207 is 2/10764

2 3806, 4454
1903, 2227

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3806,4454 By Matching Biggest Common Factor Method

Greatest Common Factor of 3806,4454 By Matching Biggest Common Factor Method

Factors of 3806

List of positive integer factors of 3806 that divides 3806 without a remainder.

1,2,11,22,173,346,1903,3806

Factors of 4454

List of positive integer factors of 4454 that divides 4454 without a remainder.

1,2,17,34,131,262,2227,4454

Greatest Common Factor

We found the factors 3806,4454 . The biggest common factor number is the GCF number.
So the greatest common factor 3806,4454 is 2.

Lets's calculate LCM of 52,207

Given numbers has no common factors except 1. So, there LCM is their product i.e 10764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10764

Therefore, the GCF of Fractions 3806/52,4454/207 is 2/10764

Least Common Multiple of 52,207 with GCF Formula

Least Common Multiple of 52,207 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 52,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,207) = 1

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

GCF(52,207) x common factors =1 x 1 = 1

LCM(52,207) = ( 52 × 207 ) / 1

LCM(52,207) = 10764 / 1

LCM(52,207) = 10764


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 3806/52, 4454/207

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 3806/52, 4454/207?

Answer: GCF of Numerators as per given numbers 3806/52, 4454/207 is

GCF of Numerators i.e. for 3806,4454 is 2

LCM of denominators i.e. for 52,207 is 10764.

Thus, GCF of Fractions is 2/10764.Finally, GCF of Fractions for 3806/52, 4454/207 is 2/10764.