Greatest Common Factor of 9524/170, 4435/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9524/170, 4435/998

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 9524/170,4435/998

Given fractions are 9524/170,4435/998

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 9524,4435

Greatest Common Factor of Numerators i.e. GCF of 9524,4435 is 1 .

LCM of Denominators means LCM of 170,998 as per the given fractions.

LCM of 170,998 is 84830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9524,4435

GCF of Fractions 9524/170,4435/998 is 1/84830

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

Greatest Common Factor of 9524,4435 By Matching Biggest Common Factor Method

Greatest Common Factor of 9524,4435 By Matching Biggest Common Factor Method

Factors of 9524

List of positive integer factors of 9524 that divides 9524 without a remainder.

1,2,4,2381,4762,9524

Factors of 4435

List of positive integer factors of 4435 that divides 4435 without a remainder.

1,5,887,4435

Greatest Common Factor

We found the factors 9524,4435 . The biggest common factor number is the GCF number.
So the greatest common factor 9524,4435 is 1.

Lets's calculate LCM of 170,998

2 170, 998
85, 499

∴ So the LCM of the given numbers is 2 x 85 x 499 = 84830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84830

Therefore, the GCF of Fractions 9524/170,4435/998 is 1/84830

Least Common Multiple of 170,998 with GCF Formula

Least Common Multiple of 170,998 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 170,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(170,998) = 2

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

GCF(170,998) x common factors =2 x 1 = 2

LCM(170,998) = ( 170 × 998 ) / 2

LCM(170,998) = 169660 / 2

LCM(170,998) = 84830


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 9524/170, 4435/998

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 9524/170, 4435/998?

Answer: GCF of Numerators as per given numbers 9524/170, 4435/998 is

GCF of Numerators i.e. for 9524,4435 is 1

LCM of denominators i.e. for 170,998 is 84830.

Thus, GCF of Fractions is 1/84830.Finally, GCF of Fractions for 9524/170, 4435/998 is 1/84830.