Greatest Common Factor of 183/714, 8421/6525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 183/714, 8421/6525

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 183/714,8421/6525

Given fractions are 183/714,8421/6525

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 183,8421

Greatest Common Factor of Numerators i.e. GCF of 183,8421 is 3 .

LCM of Denominators means LCM of 714,6525 as per the given fractions.

LCM of 714,6525 is 1552950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 183,8421

GCF of Fractions 183/714,8421/6525 is 3/1552950

3 183, 8421
61, 2807

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 183,8421 By Matching Biggest Common Factor Method

Greatest Common Factor of 183,8421 By Matching Biggest Common Factor Method

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Factors of 8421

List of positive integer factors of 8421 that divides 8421 without a remainder.

1,3,7,21,401,1203,2807,8421

Greatest Common Factor

We found the factors 183,8421 . The biggest common factor number is the GCF number.
So the greatest common factor 183,8421 is 3.

Lets's calculate LCM of 714,6525

3 714, 6525
238, 2175

∴ So the LCM of the given numbers is 3 x 238 x 2175 = 1552950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1552950

Therefore, the GCF of Fractions 183/714,8421/6525 is 3/1552950

Least Common Multiple of 714,6525 with GCF Formula

Least Common Multiple of 714,6525 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 714,6525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,6525) = 3

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

GCF(714,6525) x common factors =3 x 1 = 3

LCM(714,6525) = ( 714 × 6525 ) / 3

LCM(714,6525) = 4658850 / 3

LCM(714,6525) = 1552950


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 183/714, 8421/6525

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 183/714, 8421/6525?

Answer: GCF of Numerators as per given numbers 183/714, 8421/6525 is

GCF of Numerators i.e. for 183,8421 is 3

LCM of denominators i.e. for 714,6525 is 1552950.

Thus, GCF of Fractions is 3/1552950.Finally, GCF of Fractions for 183/714, 8421/6525 is 3/1552950.