Greatest Common Factor of 2204/824, 3767/857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2204/824, 3767/857

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 2204/824,3767/857

Given fractions are 2204/824,3767/857

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 2204,3767

Greatest Common Factor of Numerators i.e. GCF of 2204,3767 is 1 .

LCM of Denominators means LCM of 824,857 as per the given fractions.

LCM of 824,857 is 706168 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2204,3767

GCF of Fractions 2204/824,3767/857 is 1/706168

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

Greatest Common Factor of 2204,3767 By Matching Biggest Common Factor Method

Greatest Common Factor of 2204,3767 By Matching Biggest Common Factor Method

Factors of 2204

List of positive integer factors of 2204 that divides 2204 without a remainder.

1,2,4,19,29,38,58,76,116,551,1102,2204

Factors of 3767

List of positive integer factors of 3767 that divides 3767 without a remainder.

1,3767

Greatest Common Factor

We found the factors 2204,3767 . The biggest common factor number is the GCF number.
So the greatest common factor 2204,3767 is 1.

Lets's calculate LCM of 824,857

Given numbers has no common factors except 1. So, there LCM is their product i.e 706168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/706168

Therefore, the GCF of Fractions 2204/824,3767/857 is 1/706168

Least Common Multiple of 824,857 with GCF Formula

Least Common Multiple of 824,857 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 824,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,857) = 1

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

GCF(824,857) x common factors =1 x 1 = 1

LCM(824,857) = ( 824 × 857 ) / 1

LCM(824,857) = 706168 / 1

LCM(824,857) = 706168


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 2204/824, 3767/857

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 2204/824, 3767/857?

Answer: GCF of Numerators as per given numbers 2204/824, 3767/857 is

GCF of Numerators i.e. for 2204,3767 is 1

LCM of denominators i.e. for 824,857 is 706168.

Thus, GCF of Fractions is 1/706168.Finally, GCF of Fractions for 2204/824, 3767/857 is 1/706168.