Greatest Common Factor of 3520/84, 2817/641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3520/84, 2817/641

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 3520/84,2817/641

Given fractions are 3520/84,2817/641

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 3520,2817

Greatest Common Factor of Numerators i.e. GCF of 3520,2817 is 1 .

LCM of Denominators means LCM of 84,641 as per the given fractions.

LCM of 84,641 is 53844 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3520,2817

GCF of Fractions 3520/84,2817/641 is 1/53844

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3520,2817 By Matching Biggest Common Factor Method

Greatest Common Factor of 3520,2817 By Matching Biggest Common Factor Method

Factors of 3520

List of positive integer factors of 3520 that divides 3520 without a remainder.

1,2,4,5,8,10,11,16,20,22,32,40,44,55,64,80,88,110,160,176,220,320,352,440,704,880,1760,3520

Factors of 2817

List of positive integer factors of 2817 that divides 2817 without a remainder.

1,3,9,313,939,2817

Greatest Common Factor

We found the factors 3520,2817 . The biggest common factor number is the GCF number.
So the greatest common factor 3520,2817 is 1.

Lets's calculate LCM of 84,641

Given numbers has no common factors except 1. So, there LCM is their product i.e 53844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53844

Therefore, the GCF of Fractions 3520/84,2817/641 is 1/53844

Least Common Multiple of 84,641 with GCF Formula

Least Common Multiple of 84,641 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 84,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,641) = 1

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

GCF(84,641) x common factors =1 x 1 = 1

LCM(84,641) = ( 84 × 641 ) / 1

LCM(84,641) = 53844 / 1

LCM(84,641) = 53844


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 3520/84, 2817/641

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 3520/84, 2817/641?

Answer: GCF of Numerators as per given numbers 3520/84, 2817/641 is

GCF of Numerators i.e. for 3520,2817 is 1

LCM of denominators i.e. for 84,641 is 53844.

Thus, GCF of Fractions is 1/53844.Finally, GCF of Fractions for 3520/84, 2817/641 is 1/53844.