Greatest Common Factor of 1266/86, 3748/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1266/86, 3748/892

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 1266/86,3748/892

Given fractions are 1266/86,3748/892

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 1266,3748

Greatest Common Factor of Numerators i.e. GCF of 1266,3748 is 2 .

LCM of Denominators means LCM of 86,892 as per the given fractions.

LCM of 86,892 is 38356 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1266,3748

GCF of Fractions 1266/86,3748/892 is 2/38356

2 1266, 3748
633, 1874

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

Greatest Common Factor of 1266,3748 By Matching Biggest Common Factor Method

Greatest Common Factor of 1266,3748 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 3748

List of positive integer factors of 3748 that divides 3748 without a remainder.

1,2,4,937,1874,3748

Greatest Common Factor

We found the factors 1266,3748 . The biggest common factor number is the GCF number.
So the greatest common factor 1266,3748 is 2.

Lets's calculate LCM of 86,892

2 86, 892
43, 446

∴ So the LCM of the given numbers is 2 x 43 x 446 = 38356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/38356

Therefore, the GCF of Fractions 1266/86,3748/892 is 2/38356

Least Common Multiple of 86,892 with GCF Formula

Least Common Multiple of 86,892 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 86,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,892) = 2

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

GCF(86,892) x common factors =2 x 1 = 2

LCM(86,892) = ( 86 × 892 ) / 2

LCM(86,892) = 76712 / 2

LCM(86,892) = 38356


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 1266/86, 3748/892

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 1266/86, 3748/892?

Answer: GCF of Numerators as per given numbers 1266/86, 3748/892 is

GCF of Numerators i.e. for 1266,3748 is 2

LCM of denominators i.e. for 86,892 is 38356.

Thus, GCF of Fractions is 2/38356.Finally, GCF of Fractions for 1266/86, 3748/892 is 2/38356.