Greatest Common Factor of 34/20, 71/52, 465/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/20, 71/52, 465/697

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 34/20,71/52,465/697

Given fractions are 34/20,71/52,465/697

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 34,71,465

Greatest Common Factor of Numerators i.e. GCF of 34,71,465 is 1 .

LCM of Denominators means LCM of 20,52,697 as per the given fractions.

LCM of 20,52,697 is 181220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,71,465

GCF of Fractions 34/20,71/52,465/697 is 1/181220

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

Greatest Common Factor of 34,71,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,71,465 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 34,71,465 . The biggest common factor number is the GCF number.
So the greatest common factor 34,71,465 is 1.

Lets's calculate LCM of 20,52,697

2 20, 52, 697
2 10, 26, 697
5, 13, 697

∴ So the LCM of the given numbers is 2 x 2 x 5 x 13 x 697 = 181220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/181220

Therefore, the GCF of Fractions 34/20,71/52,465/697 is 1/181220

Least Common Multiple of 20,52,697 with GCF Formula

Least Common Multiple of 20,52,697 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 20,52,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,52,697) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(20,52,697) x common factors =1 x 4 = 4

LCM(20,52,697) = ( 20 × 52 × 697 ) / 4

LCM(20,52,697) = 724880 / 4

LCM(20,52,697) = 181220


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 34/20, 71/52, 465/697

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 34/20, 71/52, 465/697?

Answer: GCF of Numerators as per given numbers 34/20, 71/52, 465/697 is

GCF of Numerators i.e. for 34,71,465 is 1

LCM of denominators i.e. for 20,52,697 is 181220.

Thus, GCF of Fractions is 1/181220.Finally, GCF of Fractions for 34/20, 71/52, 465/697 is 1/181220.