Greatest Common Factor of 370/882, 8666/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 370/882, 8666/871

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 370/882,8666/871

Given fractions are 370/882,8666/871

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 370,8666

Greatest Common Factor of Numerators i.e. GCF of 370,8666 is 2 .

LCM of Denominators means LCM of 882,871 as per the given fractions.

LCM of 882,871 is 768222 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 370,8666

GCF of Fractions 370/882,8666/871 is 2/768222

2 370, 8666
185, 4333

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

Greatest Common Factor of 370,8666 By Matching Biggest Common Factor Method

Greatest Common Factor of 370,8666 By Matching Biggest Common Factor Method

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Factors of 8666

List of positive integer factors of 8666 that divides 8666 without a remainder.

1,2,7,14,619,1238,4333,8666

Greatest Common Factor

We found the factors 370,8666 . The biggest common factor number is the GCF number.
So the greatest common factor 370,8666 is 2.

Lets's calculate LCM of 882,871

Given numbers has no common factors except 1. So, there LCM is their product i.e 768222

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/768222

Therefore, the GCF of Fractions 370/882,8666/871 is 2/768222

Least Common Multiple of 882,871 with GCF Formula

Least Common Multiple of 882,871 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 882,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(882,871) = 1

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

GCF(882,871) x common factors =1 x 1 = 1

LCM(882,871) = ( 882 × 871 ) / 1

LCM(882,871) = 768222 / 1

LCM(882,871) = 768222


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 370/882, 8666/871

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 370/882, 8666/871?

Answer: GCF of Numerators as per given numbers 370/882, 8666/871 is

GCF of Numerators i.e. for 370,8666 is 2

LCM of denominators i.e. for 882,871 is 768222.

Thus, GCF of Fractions is 2/768222.Finally, GCF of Fractions for 370/882, 8666/871 is 2/768222.