Greatest Common Factor of 9998/56, 2867/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9998/56, 2867/170

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 9998/56,2867/170

Given fractions are 9998/56,2867/170

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 9998,2867

Greatest Common Factor of Numerators i.e. GCF of 9998,2867 is 1 .

LCM of Denominators means LCM of 56,170 as per the given fractions.

LCM of 56,170 is 4760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9998,2867

GCF of Fractions 9998/56,2867/170 is 1/4760

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

Greatest Common Factor of 9998,2867 By Matching Biggest Common Factor Method

Greatest Common Factor of 9998,2867 By Matching Biggest Common Factor Method

Factors of 9998

List of positive integer factors of 9998 that divides 9998 without a remainder.

1,2,4999,9998

Factors of 2867

List of positive integer factors of 2867 that divides 2867 without a remainder.

1,47,61,2867

Greatest Common Factor

We found the factors 9998,2867 . The biggest common factor number is the GCF number.
So the greatest common factor 9998,2867 is 1.

Lets's calculate LCM of 56,170

2 56, 170
28, 85

∴ So the LCM of the given numbers is 2 x 28 x 85 = 4760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4760

Therefore, the GCF of Fractions 9998/56,2867/170 is 1/4760

Least Common Multiple of 56,170 with GCF Formula

Least Common Multiple of 56,170 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 56,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,170) = 2

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

GCF(56,170) x common factors =2 x 1 = 2

LCM(56,170) = ( 56 × 170 ) / 2

LCM(56,170) = 9520 / 2

LCM(56,170) = 4760


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 9998/56, 2867/170

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 9998/56, 2867/170?

Answer: GCF of Numerators as per given numbers 9998/56, 2867/170 is

GCF of Numerators i.e. for 9998,2867 is 1

LCM of denominators i.e. for 56,170 is 4760.

Thus, GCF of Fractions is 1/4760.Finally, GCF of Fractions for 9998/56, 2867/170 is 1/4760.