Greatest Common Factor of 169/402, 714/205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 169/402, 714/205

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 169/402,714/205

Given fractions are 169/402,714/205

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 169,714

Greatest Common Factor of Numerators i.e. GCF of 169,714 is 1 .

LCM of Denominators means LCM of 402,205 as per the given fractions.

LCM of 402,205 is 82410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 169,714

GCF of Fractions 169/402,714/205 is 1/82410

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

Greatest Common Factor of 169,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 169,714 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 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 169,714 . The biggest common factor number is the GCF number.
So the greatest common factor 169,714 is 1.

Lets's calculate LCM of 402,205

Given numbers has no common factors except 1. So, there LCM is their product i.e 82410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82410

Therefore, the GCF of Fractions 169/402,714/205 is 1/82410

Least Common Multiple of 402,205 with GCF Formula

Least Common Multiple of 402,205 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 402,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,205) = 1

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

GCF(402,205) x common factors =1 x 1 = 1

LCM(402,205) = ( 402 × 205 ) / 1

LCM(402,205) = 82410 / 1

LCM(402,205) = 82410


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 169/402, 714/205

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 169/402, 714/205?

Answer: GCF of Numerators as per given numbers 169/402, 714/205 is

GCF of Numerators i.e. for 169,714 is 1

LCM of denominators i.e. for 402,205 is 82410.

Thus, GCF of Fractions is 1/82410.Finally, GCF of Fractions for 169/402, 714/205 is 1/82410.