Greatest Common Factor of 98/83, 171/85, 925/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 98/83, 171/85, 925/182

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 98/83,171/85,925/182

Given fractions are 98/83,171/85,925/182

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 98,171,925

Greatest Common Factor of Numerators i.e. GCF of 98,171,925 is 1 .

LCM of Denominators means LCM of 83,85,182 as per the given fractions.

LCM of 83,85,182 is 1284010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 98,171,925

GCF of Fractions 98/83,171/85,925/182 is 1/1284010

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

Greatest Common Factor of 98,171,925 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,171,925 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Greatest Common Factor

We found the factors 98,171,925 . The biggest common factor number is the GCF number.
So the greatest common factor 98,171,925 is 1.

Lets's calculate LCM of 83,85,182

Given numbers has no common factors except 1. So, there LCM is their product i.e 1284010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1284010

Therefore, the GCF of Fractions 98/83,171/85,925/182 is 1/1284010

Least Common Multiple of 83,85,182 with GCF Formula

Least Common Multiple of 83,85,182 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 83,85,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,85,182) = 1

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

GCF(83,85,182) x common factors =1 x 1 = 1

LCM(83,85,182) = ( 83 × 85 × 182 ) / 1

LCM(83,85,182) = 1284010 / 1

LCM(83,85,182) = 1284010


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 98/83, 171/85, 925/182

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 98/83, 171/85, 925/182?

Answer: GCF of Numerators as per given numbers 98/83, 171/85, 925/182 is

GCF of Numerators i.e. for 98,171,925 is 1

LCM of denominators i.e. for 83,85,182 is 1284010.

Thus, GCF of Fractions is 1/1284010.Finally, GCF of Fractions for 98/83, 171/85, 925/182 is 1/1284010.