Greatest Common Factor of 5205/641, 5150/884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5205/641, 5150/884

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 5205/641,5150/884

Given fractions are 5205/641,5150/884

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 5205,5150

Greatest Common Factor of Numerators i.e. GCF of 5205,5150 is 5 .

LCM of Denominators means LCM of 641,884 as per the given fractions.

LCM of 641,884 is 566644 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5205,5150

GCF of Fractions 5205/641,5150/884 is 5/566644

5 5205, 5150
1041, 1030

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

Greatest Common Factor of 5205,5150 By Matching Biggest Common Factor Method

Greatest Common Factor of 5205,5150 By Matching Biggest Common Factor Method

Factors of 5205

List of positive integer factors of 5205 that divides 5205 without a remainder.

1,3,5,15,347,1041,1735,5205

Factors of 5150

List of positive integer factors of 5150 that divides 5150 without a remainder.

1,2,5,10,25,50,103,206,515,1030,2575,5150

Greatest Common Factor

We found the factors 5205,5150 . The biggest common factor number is the GCF number.
So the greatest common factor 5205,5150 is 5.

Lets's calculate LCM of 641,884

Given numbers has no common factors except 1. So, there LCM is their product i.e 566644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/566644

Therefore, the GCF of Fractions 5205/641,5150/884 is 5/566644

Least Common Multiple of 641,884 with GCF Formula

Least Common Multiple of 641,884 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 641,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(641,884) = 1

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

GCF(641,884) x common factors =1 x 1 = 1

LCM(641,884) = ( 641 × 884 ) / 1

LCM(641,884) = 566644 / 1

LCM(641,884) = 566644


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 5205/641, 5150/884

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 5205/641, 5150/884?

Answer: GCF of Numerators as per given numbers 5205/641, 5150/884 is

GCF of Numerators i.e. for 5205,5150 is 5

LCM of denominators i.e. for 641,884 is 566644.

Thus, GCF of Fractions is 5/566644.Finally, GCF of Fractions for 5205/641, 5150/884 is 5/566644.