Greatest Common Factor of 8574/176, 6382/311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8574/176, 6382/311

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 8574/176,6382/311

Given fractions are 8574/176,6382/311

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 8574,6382

Greatest Common Factor of Numerators i.e. GCF of 8574,6382 is 2 .

LCM of Denominators means LCM of 176,311 as per the given fractions.

LCM of 176,311 is 54736 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8574,6382

GCF of Fractions 8574/176,6382/311 is 2/54736

2 8574, 6382
4287, 3191

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

Greatest Common Factor of 8574,6382 By Matching Biggest Common Factor Method

Greatest Common Factor of 8574,6382 By Matching Biggest Common Factor Method

Factors of 8574

List of positive integer factors of 8574 that divides 8574 without a remainder.

1,2,3,6,1429,2858,4287,8574

Factors of 6382

List of positive integer factors of 6382 that divides 6382 without a remainder.

1,2,3191,6382

Greatest Common Factor

We found the factors 8574,6382 . The biggest common factor number is the GCF number.
So the greatest common factor 8574,6382 is 2.

Lets's calculate LCM of 176,311

Given numbers has no common factors except 1. So, there LCM is their product i.e 54736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/54736

Therefore, the GCF of Fractions 8574/176,6382/311 is 2/54736

Least Common Multiple of 176,311 with GCF Formula

Least Common Multiple of 176,311 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 176,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(176,311) = 1

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

GCF(176,311) x common factors =1 x 1 = 1

LCM(176,311) = ( 176 × 311 ) / 1

LCM(176,311) = 54736 / 1

LCM(176,311) = 54736


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 8574/176, 6382/311

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 8574/176, 6382/311?

Answer: GCF of Numerators as per given numbers 8574/176, 6382/311 is

GCF of Numerators i.e. for 8574,6382 is 2

LCM of denominators i.e. for 176,311 is 54736.

Thus, GCF of Fractions is 2/54736.Finally, GCF of Fractions for 8574/176, 6382/311 is 2/54736.