Greatest Common Factor of 3241/25, 5898/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3241/25, 5898/490

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 3241/25,5898/490

Given fractions are 3241/25,5898/490

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 3241,5898

Greatest Common Factor of Numerators i.e. GCF of 3241,5898 is 1 .

LCM of Denominators means LCM of 25,490 as per the given fractions.

LCM of 25,490 is 2450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3241,5898

GCF of Fractions 3241/25,5898/490 is 1/2450

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

Greatest Common Factor of 3241,5898 By Matching Biggest Common Factor Method

Greatest Common Factor of 3241,5898 By Matching Biggest Common Factor Method

Factors of 3241

List of positive integer factors of 3241 that divides 3241 without a remainder.

1,7,463,3241

Factors of 5898

List of positive integer factors of 5898 that divides 5898 without a remainder.

1,2,3,6,983,1966,2949,5898

Greatest Common Factor

We found the factors 3241,5898 . The biggest common factor number is the GCF number.
So the greatest common factor 3241,5898 is 1.

Lets's calculate LCM of 25,490

5 25, 490
5, 98

∴ So the LCM of the given numbers is 5 x 5 x 98 = 2450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2450

Therefore, the GCF of Fractions 3241/25,5898/490 is 1/2450

Least Common Multiple of 25,490 with GCF Formula

Least Common Multiple of 25,490 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 25,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,490) = 5

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

GCF(25,490) x common factors =5 x 1 = 5

LCM(25,490) = ( 25 × 490 ) / 5

LCM(25,490) = 12250 / 5

LCM(25,490) = 2450


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 3241/25, 5898/490

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 3241/25, 5898/490?

Answer: GCF of Numerators as per given numbers 3241/25, 5898/490 is

GCF of Numerators i.e. for 3241,5898 is 1

LCM of denominators i.e. for 25,490 is 2450.

Thus, GCF of Fractions is 1/2450.Finally, GCF of Fractions for 3241/25, 5898/490 is 1/2450.