Greatest Common Factor of 169/42, 934/19, 164/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 169/42, 934/19, 164/766

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 169/42,934/19,164/766

Given fractions are 169/42,934/19,164/766

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 169,934,164

Greatest Common Factor of Numerators i.e. GCF of 169,934,164 is 1 .

LCM of Denominators means LCM of 42,19,766 as per the given fractions.

LCM of 42,19,766 is 305634 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 169,934,164

GCF of Fractions 169/42,934/19,164/766 is 1/305634

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

Greatest Common Factor of 169,934,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 169,934,164 By Matching Biggest Common Factor Method

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1,2,467,934

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 169,934,164 . The biggest common factor number is the GCF number.
So the greatest common factor 169,934,164 is 1.

Lets's calculate LCM of 42,19,766

2 42, 19, 766
21, 19, 383

∴ So the LCM of the given numbers is 2 x 21 x 19 x 383 = 305634

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/305634

Therefore, the GCF of Fractions 169/42,934/19,164/766 is 1/305634

Least Common Multiple of 42,19,766 with GCF Formula

Least Common Multiple of 42,19,766 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 42,19,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,19,766) = 1

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

GCF(42,19,766) x common factors =1 x 2 = 2

LCM(42,19,766) = ( 42 × 19 × 766 ) / 2

LCM(42,19,766) = 611268 / 2

LCM(42,19,766) = 305634


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 169/42, 934/19, 164/766

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 169/42, 934/19, 164/766?

Answer: GCF of Numerators as per given numbers 169/42, 934/19, 164/766 is

GCF of Numerators i.e. for 169,934,164 is 1

LCM of denominators i.e. for 42,19,766 is 305634.

Thus, GCF of Fractions is 1/305634.Finally, GCF of Fractions for 169/42, 934/19, 164/766 is 1/305634.