Greatest Common Factor of 173/34, 430/92, 829/84

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 173/34, 430/92, 829/84

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 173/34,430/92,829/84

Given fractions are 173/34,430/92,829/84

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 173,430,829

Greatest Common Factor of Numerators i.e. GCF of 173,430,829 is 1 .

LCM of Denominators means LCM of 34,92,84 as per the given fractions.

LCM of 34,92,84 is 32844 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 173,430,829

GCF of Fractions 173/34,430/92,829/84 is 1/32844

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

Greatest Common Factor of 173,430,829 By Matching Biggest Common Factor Method

Greatest Common Factor of 173,430,829 By Matching Biggest Common Factor Method

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Greatest Common Factor

We found the factors 173,430,829 . The biggest common factor number is the GCF number.
So the greatest common factor 173,430,829 is 1.

Lets's calculate LCM of 34,92,84

2 34, 92, 84
2 17, 46, 42
17, 23, 21

∴ So the LCM of the given numbers is 2 x 2 x 17 x 23 x 21 = 32844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32844

Therefore, the GCF of Fractions 173/34,430/92,829/84 is 1/32844

Least Common Multiple of 34,92,84 with GCF Formula

Least Common Multiple of 34,92,84 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 34,92,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,92,84) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(34,92,84) x common factors =2 x 4 = 8

LCM(34,92,84) = ( 34 × 92 × 84 ) / 8

LCM(34,92,84) = 262752 / 8

LCM(34,92,84) = 32844


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 173/34, 430/92, 829/84

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 173/34, 430/92, 829/84?

Answer: GCF of Numerators as per given numbers 173/34, 430/92, 829/84 is

GCF of Numerators i.e. for 173,430,829 is 1

LCM of denominators i.e. for 34,92,84 is 32844.

Thus, GCF of Fractions is 1/32844.Finally, GCF of Fractions for 173/34, 430/92, 829/84 is 1/32844.