Greatest Common Factor of 8174/209, 2700/5452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8174/209, 2700/5452

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 8174/209,2700/5452

Given fractions are 8174/209,2700/5452

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 8174,2700

Greatest Common Factor of Numerators i.e. GCF of 8174,2700 is 2 .

LCM of Denominators means LCM of 209,5452 as per the given fractions.

LCM of 209,5452 is 1139468 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8174,2700

GCF of Fractions 8174/209,2700/5452 is 2/1139468

2 8174, 2700
4087, 1350

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

Greatest Common Factor of 8174,2700 By Matching Biggest Common Factor Method

Greatest Common Factor of 8174,2700 By Matching Biggest Common Factor Method

Factors of 8174

List of positive integer factors of 8174 that divides 8174 without a remainder.

1,2,61,67,122,134,4087,8174

Factors of 2700

List of positive integer factors of 2700 that divides 2700 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,27,30,36,45,50,54,60,75,90,100,108,135,150,180,225,270,300,450,540,675,900,1350,2700

Greatest Common Factor

We found the factors 8174,2700 . The biggest common factor number is the GCF number.
So the greatest common factor 8174,2700 is 2.

Lets's calculate LCM of 209,5452

Given numbers has no common factors except 1. So, there LCM is their product i.e 1139468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1139468

Therefore, the GCF of Fractions 8174/209,2700/5452 is 2/1139468

Least Common Multiple of 209,5452 with GCF Formula

Least Common Multiple of 209,5452 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 209,5452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,5452) = 1

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

GCF(209,5452) x common factors =1 x 1 = 1

LCM(209,5452) = ( 209 × 5452 ) / 1

LCM(209,5452) = 1139468 / 1

LCM(209,5452) = 1139468


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 8174/209, 2700/5452

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 8174/209, 2700/5452?

Answer: GCF of Numerators as per given numbers 8174/209, 2700/5452 is

GCF of Numerators i.e. for 8174,2700 is 2

LCM of denominators i.e. for 209,5452 is 1139468.

Thus, GCF of Fractions is 2/1139468.Finally, GCF of Fractions for 8174/209, 2700/5452 is 2/1139468.