Greatest Common Factor of 55/61, 169/39, 834/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 55/61, 169/39, 834/164

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 55/61,169/39,834/164

Given fractions are 55/61,169/39,834/164

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 55,169,834

Greatest Common Factor of Numerators i.e. GCF of 55,169,834 is 1 .

LCM of Denominators means LCM of 61,39,164 as per the given fractions.

LCM of 61,39,164 is 390156 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 55,169,834

GCF of Fractions 55/61,169/39,834/164 is 1/390156

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

Greatest Common Factor of 55,169,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,169,834 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 169

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

1,13,169

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 55,169,834 . The biggest common factor number is the GCF number.
So the greatest common factor 55,169,834 is 1.

Lets's calculate LCM of 61,39,164

Given numbers has no common factors except 1. So, there LCM is their product i.e 390156

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/390156

Therefore, the GCF of Fractions 55/61,169/39,834/164 is 1/390156

Least Common Multiple of 61,39,164 with GCF Formula

Least Common Multiple of 61,39,164 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 61,39,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,39,164) = 1

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

GCF(61,39,164) x common factors =1 x 1 = 1

LCM(61,39,164) = ( 61 × 39 × 164 ) / 1

LCM(61,39,164) = 390156 / 1

LCM(61,39,164) = 390156


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 55/61, 169/39, 834/164

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 55/61, 169/39, 834/164?

Answer: GCF of Numerators as per given numbers 55/61, 169/39, 834/164 is

GCF of Numerators i.e. for 55,169,834 is 1

LCM of denominators i.e. for 61,39,164 is 390156.

Thus, GCF of Fractions is 1/390156.Finally, GCF of Fractions for 55/61, 169/39, 834/164 is 1/390156.