Greatest Common Factor of 8755/41, 1890/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8755/41, 1890/708

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 8755/41,1890/708

Given fractions are 8755/41,1890/708

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 8755,1890

Greatest Common Factor of Numerators i.e. GCF of 8755,1890 is 5 .

LCM of Denominators means LCM of 41,708 as per the given fractions.

LCM of 41,708 is 29028 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8755,1890

GCF of Fractions 8755/41,1890/708 is 5/29028

5 8755, 1890
1751, 378

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 8755,1890 By Matching Biggest Common Factor Method

Greatest Common Factor of 8755,1890 By Matching Biggest Common Factor Method

Factors of 8755

List of positive integer factors of 8755 that divides 8755 without a remainder.

1,5,17,85,103,515,1751,8755

Factors of 1890

List of positive integer factors of 1890 that divides 1890 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,27,30,35,42,45,54,63,70,90,105,126,135,189,210,270,315,378,630,945,1890

Greatest Common Factor

We found the factors 8755,1890 . The biggest common factor number is the GCF number.
So the greatest common factor 8755,1890 is 5.

Lets's calculate LCM of 41,708

Given numbers has no common factors except 1. So, there LCM is their product i.e 29028

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/29028

Therefore, the GCF of Fractions 8755/41,1890/708 is 5/29028

Least Common Multiple of 41,708 with GCF Formula

Least Common Multiple of 41,708 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 41,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,708) = 1

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

GCF(41,708) x common factors =1 x 1 = 1

LCM(41,708) = ( 41 × 708 ) / 1

LCM(41,708) = 29028 / 1

LCM(41,708) = 29028


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 8755/41, 1890/708

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 8755/41, 1890/708?

Answer: GCF of Numerators as per given numbers 8755/41, 1890/708 is

GCF of Numerators i.e. for 8755,1890 is 5

LCM of denominators i.e. for 41,708 is 29028.

Thus, GCF of Fractions is 5/29028.Finally, GCF of Fractions for 8755/41, 1890/708 is 5/29028.