Greatest Common Factor of 3854/214, 4522/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3854/214, 4522/823

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 3854/214,4522/823

Given fractions are 3854/214,4522/823

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 3854,4522

Greatest Common Factor of Numerators i.e. GCF of 3854,4522 is 2 .

LCM of Denominators means LCM of 214,823 as per the given fractions.

LCM of 214,823 is 176122 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3854,4522

GCF of Fractions 3854/214,4522/823 is 2/176122

2 3854, 4522
1927, 2261

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

Greatest Common Factor of 3854,4522 By Matching Biggest Common Factor Method

Greatest Common Factor of 3854,4522 By Matching Biggest Common Factor Method

Factors of 3854

List of positive integer factors of 3854 that divides 3854 without a remainder.

1,2,41,47,82,94,1927,3854

Factors of 4522

List of positive integer factors of 4522 that divides 4522 without a remainder.

1,2,7,14,17,19,34,38,119,133,238,266,323,646,2261,4522

Greatest Common Factor

We found the factors 3854,4522 . The biggest common factor number is the GCF number.
So the greatest common factor 3854,4522 is 2.

Lets's calculate LCM of 214,823

Given numbers has no common factors except 1. So, there LCM is their product i.e 176122

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/176122

Therefore, the GCF of Fractions 3854/214,4522/823 is 2/176122

Least Common Multiple of 214,823 with GCF Formula

Least Common Multiple of 214,823 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 214,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,823) = 1

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

GCF(214,823) x common factors =1 x 1 = 1

LCM(214,823) = ( 214 × 823 ) / 1

LCM(214,823) = 176122 / 1

LCM(214,823) = 176122


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 3854/214, 4522/823

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 3854/214, 4522/823?

Answer: GCF of Numerators as per given numbers 3854/214, 4522/823 is

GCF of Numerators i.e. for 3854,4522 is 2

LCM of denominators i.e. for 214,823 is 176122.

Thus, GCF of Fractions is 2/176122.Finally, GCF of Fractions for 3854/214, 4522/823 is 2/176122.