Greatest Common Factor of 6488/25, 5498/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6488/25, 5498/565

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 6488/25,5498/565

Given fractions are 6488/25,5498/565

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 6488,5498

Greatest Common Factor of Numerators i.e. GCF of 6488,5498 is 2 .

LCM of Denominators means LCM of 25,565 as per the given fractions.

LCM of 25,565 is 2825 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6488,5498

GCF of Fractions 6488/25,5498/565 is 2/2825

2 6488, 5498
3244, 2749

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

Greatest Common Factor of 6488,5498 By Matching Biggest Common Factor Method

Greatest Common Factor of 6488,5498 By Matching Biggest Common Factor Method

Factors of 6488

List of positive integer factors of 6488 that divides 6488 without a remainder.

1,2,4,8,811,1622,3244,6488

Factors of 5498

List of positive integer factors of 5498 that divides 5498 without a remainder.

1,2,2749,5498

Greatest Common Factor

We found the factors 6488,5498 . The biggest common factor number is the GCF number.
So the greatest common factor 6488,5498 is 2.

Lets's calculate LCM of 25,565

5 25, 565
5, 113

∴ So the LCM of the given numbers is 5 x 5 x 113 = 2825

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2825

Therefore, the GCF of Fractions 6488/25,5498/565 is 2/2825

Least Common Multiple of 25,565 with GCF Formula

Least Common Multiple of 25,565 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 25,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,565) = 5

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

GCF(25,565) x common factors =5 x 1 = 5

LCM(25,565) = ( 25 × 565 ) / 5

LCM(25,565) = 14125 / 5

LCM(25,565) = 2825


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 6488/25, 5498/565

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 6488/25, 5498/565?

Answer: GCF of Numerators as per given numbers 6488/25, 5498/565 is

GCF of Numerators i.e. for 6488,5498 is 2

LCM of denominators i.e. for 25,565 is 2825.

Thus, GCF of Fractions is 2/2825.Finally, GCF of Fractions for 6488/25, 5498/565 is 2/2825.