Greatest Common Factor of 597/68, 166/70, 329/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 597/68, 166/70, 329/219

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 597/68,166/70,329/219

Given fractions are 597/68,166/70,329/219

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 597,166,329

Greatest Common Factor of Numerators i.e. GCF of 597,166,329 is 1 .

LCM of Denominators means LCM of 68,70,219 as per the given fractions.

LCM of 68,70,219 is 521220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 597,166,329

GCF of Fractions 597/68,166/70,329/219 is 1/521220

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

Greatest Common Factor of 597,166,329 By Matching Biggest Common Factor Method

Greatest Common Factor of 597,166,329 By Matching Biggest Common Factor Method

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Greatest Common Factor

We found the factors 597,166,329 . The biggest common factor number is the GCF number.
So the greatest common factor 597,166,329 is 1.

Lets's calculate LCM of 68,70,219

2 68, 70, 219
34, 35, 219

∴ So the LCM of the given numbers is 2 x 34 x 35 x 219 = 521220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/521220

Therefore, the GCF of Fractions 597/68,166/70,329/219 is 1/521220

Least Common Multiple of 68,70,219 with GCF Formula

Least Common Multiple of 68,70,219 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 68,70,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,70,219) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(68,70,219) x common factors =1 x 2 = 2

LCM(68,70,219) = ( 68 × 70 × 219 ) / 2

LCM(68,70,219) = 1042440 / 2

LCM(68,70,219) = 521220


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 597/68, 166/70, 329/219

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 597/68, 166/70, 329/219?

Answer: GCF of Numerators as per given numbers 597/68, 166/70, 329/219 is

GCF of Numerators i.e. for 597,166,329 is 1

LCM of denominators i.e. for 68,70,219 is 521220.

Thus, GCF of Fractions is 1/521220.Finally, GCF of Fractions for 597/68, 166/70, 329/219 is 1/521220.