Greatest Common Factor of 820/334, 8416/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 820/334, 8416/271

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 820/334,8416/271

Given fractions are 820/334,8416/271

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 820,8416

Greatest Common Factor of Numerators i.e. GCF of 820,8416 is 4 .

LCM of Denominators means LCM of 334,271 as per the given fractions.

LCM of 334,271 is 90514 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 820,8416

GCF of Fractions 820/334,8416/271 is 4/90514

2 820, 8416
2 410, 4208
205, 2104

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 820,8416 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,8416 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 8416

List of positive integer factors of 8416 that divides 8416 without a remainder.

1,2,4,8,16,32,263,526,1052,2104,4208,8416

Greatest Common Factor

We found the factors 820,8416 . The biggest common factor number is the GCF number.
So the greatest common factor 820,8416 is 4.

Lets's calculate LCM of 334,271

Given numbers has no common factors except 1. So, there LCM is their product i.e 90514

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/90514

Therefore, the GCF of Fractions 820/334,8416/271 is 4/90514

Least Common Multiple of 334,271 with GCF Formula

Least Common Multiple of 334,271 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 334,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,271) = 1

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

GCF(334,271) x common factors =1 x 1 = 1

LCM(334,271) = ( 334 × 271 ) / 1

LCM(334,271) = 90514 / 1

LCM(334,271) = 90514


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 820/334, 8416/271

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 820/334, 8416/271?

Answer: GCF of Numerators as per given numbers 820/334, 8416/271 is

GCF of Numerators i.e. for 820,8416 is 4

LCM of denominators i.e. for 334,271 is 90514.

Thus, GCF of Fractions is 4/90514.Finally, GCF of Fractions for 820/334, 8416/271 is 4/90514.