Greatest Common Factor of 4298/13, 5986/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4298/13, 5986/120

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 4298/13,5986/120

Given fractions are 4298/13,5986/120

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 4298,5986

Greatest Common Factor of Numerators i.e. GCF of 4298,5986 is 2 .

LCM of Denominators means LCM of 13,120 as per the given fractions.

LCM of 13,120 is 1560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4298,5986

GCF of Fractions 4298/13,5986/120 is 2/1560

2 4298, 5986
2149, 2993

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

Greatest Common Factor of 4298,5986 By Matching Biggest Common Factor Method

Greatest Common Factor of 4298,5986 By Matching Biggest Common Factor Method

Factors of 4298

List of positive integer factors of 4298 that divides 4298 without a remainder.

1,2,7,14,307,614,2149,4298

Factors of 5986

List of positive integer factors of 5986 that divides 5986 without a remainder.

1,2,41,73,82,146,2993,5986

Greatest Common Factor

We found the factors 4298,5986 . The biggest common factor number is the GCF number.
So the greatest common factor 4298,5986 is 2.

Lets's calculate LCM of 13,120

Given numbers has no common factors except 1. So, there LCM is their product i.e 1560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1560

Therefore, the GCF of Fractions 4298/13,5986/120 is 2/1560

Least Common Multiple of 13,120 with GCF Formula

Least Common Multiple of 13,120 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 13,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,120) = 1

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

GCF(13,120) x common factors =1 x 1 = 1

LCM(13,120) = ( 13 × 120 ) / 1

LCM(13,120) = 1560 / 1

LCM(13,120) = 1560


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 4298/13, 5986/120

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 4298/13, 5986/120?

Answer: GCF of Numerators as per given numbers 4298/13, 5986/120 is

GCF of Numerators i.e. for 4298,5986 is 2

LCM of denominators i.e. for 13,120 is 1560.

Thus, GCF of Fractions is 2/1560.Finally, GCF of Fractions for 4298/13, 5986/120 is 2/1560.