Greatest Common Factor of 203/132, 1414/9720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 203/132, 1414/9720

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 203/132,1414/9720

Given fractions are 203/132,1414/9720

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 203,1414

Greatest Common Factor of Numerators i.e. GCF of 203,1414 is 7 .

LCM of Denominators means LCM of 132,9720 as per the given fractions.

LCM of 132,9720 is 106920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 203,1414

GCF of Fractions 203/132,1414/9720 is 7/106920

7 203, 1414
29, 202

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 203,1414 By Matching Biggest Common Factor Method

Greatest Common Factor of 203,1414 By Matching Biggest Common Factor Method

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Factors of 1414

List of positive integer factors of 1414 that divides 1414 without a remainder.

1,2,7,14,101,202,707,1414

Greatest Common Factor

We found the factors 203,1414 . The biggest common factor number is the GCF number.
So the greatest common factor 203,1414 is 7.

Lets's calculate LCM of 132,9720

2 132, 9720
2 66, 4860
3 33, 2430
11, 810

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 810 = 106920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/106920

Therefore, the GCF of Fractions 203/132,1414/9720 is 7/106920

Least Common Multiple of 132,9720 with GCF Formula

Least Common Multiple of 132,9720 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 132,9720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(132,9720) = 12

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

GCF(132,9720) x common factors =12 x 1 = 12

LCM(132,9720) = ( 132 × 9720 ) / 12

LCM(132,9720) = 1283040 / 12

LCM(132,9720) = 106920


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 203/132, 1414/9720

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 203/132, 1414/9720?

Answer: GCF of Numerators as per given numbers 203/132, 1414/9720 is

GCF of Numerators i.e. for 203,1414 is 7

LCM of denominators i.e. for 132,9720 is 106920.

Thus, GCF of Fractions is 7/106920.Finally, GCF of Fractions for 203/132, 1414/9720 is 7/106920.