Greatest Common Factor of 166/703, 415/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 166/703, 415/339

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 166/703,415/339

Given fractions are 166/703,415/339

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 166,415

Greatest Common Factor of Numerators i.e. GCF of 166,415 is 83 .

LCM of Denominators means LCM of 703,339 as per the given fractions.

LCM of 703,339 is 238317 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 166,415

GCF of Fractions 166/703,415/339 is 83/238317

83 166, 415
2, 5

∴ So the GCF of the given numbers is 83 = 83

Greatest Common Factor of 166,415 By Matching Biggest Common Factor Method

Greatest Common Factor of 166,415 By Matching Biggest Common Factor Method

Factors of 166

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

1,2,83,166

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Greatest Common Factor

We found the factors 166,415 . The biggest common factor number is the GCF number.
So the greatest common factor 166,415 is 83.

Lets's calculate LCM of 703,339

Given numbers has no common factors except 1. So, there LCM is their product i.e 238317

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 83/238317

Therefore, the GCF of Fractions 166/703,415/339 is 83/238317

Least Common Multiple of 703,339 with GCF Formula

Least Common Multiple of 703,339 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 703,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(703,339) = 1

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

GCF(703,339) x common factors =1 x 1 = 1

LCM(703,339) = ( 703 × 339 ) / 1

LCM(703,339) = 238317 / 1

LCM(703,339) = 238317


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 166/703, 415/339

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 166/703, 415/339?

Answer: GCF of Numerators as per given numbers 166/703, 415/339 is

GCF of Numerators i.e. for 166,415 is 83

LCM of denominators i.e. for 703,339 is 238317.

Thus, GCF of Fractions is 83/238317.Finally, GCF of Fractions for 166/703, 415/339 is 83/238317.