Greatest Common Factor of 398/58, 994/8570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 398/58, 994/8570

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 398/58,994/8570

Given fractions are 398/58,994/8570

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 398,994

Greatest Common Factor of Numerators i.e. GCF of 398,994 is 2 .

LCM of Denominators means LCM of 58,8570 as per the given fractions.

LCM of 58,8570 is 248530 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 398,994

GCF of Fractions 398/58,994/8570 is 2/248530

2 398, 994
199, 497

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

Greatest Common Factor of 398,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,994 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 398,994 . The biggest common factor number is the GCF number.
So the greatest common factor 398,994 is 2.

Lets's calculate LCM of 58,8570

2 58, 8570
29, 4285

∴ So the LCM of the given numbers is 2 x 29 x 4285 = 248530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/248530

Therefore, the GCF of Fractions 398/58,994/8570 is 2/248530

Least Common Multiple of 58,8570 with GCF Formula

Least Common Multiple of 58,8570 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 58,8570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,8570) = 2

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

GCF(58,8570) x common factors =2 x 1 = 2

LCM(58,8570) = ( 58 × 8570 ) / 2

LCM(58,8570) = 497060 / 2

LCM(58,8570) = 248530


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 398/58, 994/8570

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 398/58, 994/8570?

Answer: GCF of Numerators as per given numbers 398/58, 994/8570 is

GCF of Numerators i.e. for 398,994 is 2

LCM of denominators i.e. for 58,8570 is 248530.

Thus, GCF of Fractions is 2/248530.Finally, GCF of Fractions for 398/58, 994/8570 is 2/248530.