Greatest Common Factor of 1786/40, 8538/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1786/40, 8538/208

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 1786/40,8538/208

Given fractions are 1786/40,8538/208

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 1786,8538

Greatest Common Factor of Numerators i.e. GCF of 1786,8538 is 2 .

LCM of Denominators means LCM of 40,208 as per the given fractions.

LCM of 40,208 is 1040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1786,8538

GCF of Fractions 1786/40,8538/208 is 2/1040

2 1786, 8538
893, 4269

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

Greatest Common Factor of 1786,8538 By Matching Biggest Common Factor Method

Greatest Common Factor of 1786,8538 By Matching Biggest Common Factor Method

Factors of 1786

List of positive integer factors of 1786 that divides 1786 without a remainder.

1,2,19,38,47,94,893,1786

Factors of 8538

List of positive integer factors of 8538 that divides 8538 without a remainder.

1,2,3,6,1423,2846,4269,8538

Greatest Common Factor

We found the factors 1786,8538 . The biggest common factor number is the GCF number.
So the greatest common factor 1786,8538 is 2.

Lets's calculate LCM of 40,208

2 40, 208
2 20, 104
2 10, 52
5, 26

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 26 = 1040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1040

Therefore, the GCF of Fractions 1786/40,8538/208 is 2/1040

Least Common Multiple of 40,208 with GCF Formula

Least Common Multiple of 40,208 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 40,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,208) = 8

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

GCF(40,208) x common factors =8 x 1 = 8

LCM(40,208) = ( 40 × 208 ) / 8

LCM(40,208) = 8320 / 8

LCM(40,208) = 1040


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 1786/40, 8538/208

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 1786/40, 8538/208?

Answer: GCF of Numerators as per given numbers 1786/40, 8538/208 is

GCF of Numerators i.e. for 1786,8538 is 2

LCM of denominators i.e. for 40,208 is 1040.

Thus, GCF of Fractions is 2/1040.Finally, GCF of Fractions for 1786/40, 8538/208 is 2/1040.