Greatest Common Factor of 1266/31, 3654/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1266/31, 3654/380

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 1266/31,3654/380

Given fractions are 1266/31,3654/380

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 1266,3654

Greatest Common Factor of Numerators i.e. GCF of 1266,3654 is 6 .

LCM of Denominators means LCM of 31,380 as per the given fractions.

LCM of 31,380 is 11780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1266,3654

GCF of Fractions 1266/31,3654/380 is 6/11780

2 1266, 3654
3 633, 1827
211, 609

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 1266,3654 By Matching Biggest Common Factor Method

Greatest Common Factor of 1266,3654 By Matching Biggest Common Factor Method

Factors of 1266

List of positive integer factors of 1266 that divides 1266 without a remainder.

1,2,3,6,211,422,633,1266

Factors of 3654

List of positive integer factors of 3654 that divides 3654 without a remainder.

1,2,3,6,7,9,14,18,21,29,42,58,63,87,126,174,203,261,406,522,609,1218,1827,3654

Greatest Common Factor

We found the factors 1266,3654 . The biggest common factor number is the GCF number.
So the greatest common factor 1266,3654 is 6.

Lets's calculate LCM of 31,380

Given numbers has no common factors except 1. So, there LCM is their product i.e 11780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/11780

Therefore, the GCF of Fractions 1266/31,3654/380 is 6/11780

Least Common Multiple of 31,380 with GCF Formula

Least Common Multiple of 31,380 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 31,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,380) = 1

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

GCF(31,380) x common factors =1 x 1 = 1

LCM(31,380) = ( 31 × 380 ) / 1

LCM(31,380) = 11780 / 1

LCM(31,380) = 11780


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 1266/31, 3654/380

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 1266/31, 3654/380?

Answer: GCF of Numerators as per given numbers 1266/31, 3654/380 is

GCF of Numerators i.e. for 1266,3654 is 6

LCM of denominators i.e. for 31,380 is 11780.

Thus, GCF of Fractions is 6/11780.Finally, GCF of Fractions for 1266/31, 3654/380 is 6/11780.