Greatest Common Factor of 9493/862, 8614/173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9493/862, 8614/173

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 9493/862,8614/173

Given fractions are 9493/862,8614/173

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 9493,8614

Greatest Common Factor of Numerators i.e. GCF of 9493,8614 is 1 .

LCM of Denominators means LCM of 862,173 as per the given fractions.

LCM of 862,173 is 149126 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9493,8614

GCF of Fractions 9493/862,8614/173 is 1/149126

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

Greatest Common Factor of 9493,8614 By Matching Biggest Common Factor Method

Greatest Common Factor of 9493,8614 By Matching Biggest Common Factor Method

Factors of 9493

List of positive integer factors of 9493 that divides 9493 without a remainder.

1,11,863,9493

Factors of 8614

List of positive integer factors of 8614 that divides 8614 without a remainder.

1,2,59,73,118,146,4307,8614

Greatest Common Factor

We found the factors 9493,8614 . The biggest common factor number is the GCF number.
So the greatest common factor 9493,8614 is 1.

Lets's calculate LCM of 862,173

Given numbers has no common factors except 1. So, there LCM is their product i.e 149126

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149126

Therefore, the GCF of Fractions 9493/862,8614/173 is 1/149126

Least Common Multiple of 862,173 with GCF Formula

Least Common Multiple of 862,173 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 862,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(862,173) = 1

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

GCF(862,173) x common factors =1 x 1 = 1

LCM(862,173) = ( 862 × 173 ) / 1

LCM(862,173) = 149126 / 1

LCM(862,173) = 149126


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 9493/862, 8614/173

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 9493/862, 8614/173?

Answer: GCF of Numerators as per given numbers 9493/862, 8614/173 is

GCF of Numerators i.e. for 9493,8614 is 1

LCM of denominators i.e. for 862,173 is 149126.

Thus, GCF of Fractions is 1/149126.Finally, GCF of Fractions for 9493/862, 8614/173 is 1/149126.