Greatest Common Factor of 734/70, 703/38, 460/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 734/70, 703/38, 460/165

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 734/70,703/38,460/165

Given fractions are 734/70,703/38,460/165

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 734,703,460

Greatest Common Factor of Numerators i.e. GCF of 734,703,460 is 1 .

LCM of Denominators means LCM of 70,38,165 as per the given fractions.

LCM of 70,38,165 is 43890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 734,703,460

GCF of Fractions 734/70,703/38,460/165 is 1/43890

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

Greatest Common Factor of 734,703,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,703,460 By Matching Biggest Common Factor Method

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 734,703,460 . The biggest common factor number is the GCF number.
So the greatest common factor 734,703,460 is 1.

Lets's calculate LCM of 70,38,165

2 70, 38, 165
5 35, 19, 165
7, 19, 33

∴ So the LCM of the given numbers is 2 x 5 x 7 x 19 x 33 = 43890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43890

Therefore, the GCF of Fractions 734/70,703/38,460/165 is 1/43890

Least Common Multiple of 70,38,165 with GCF Formula

Least Common Multiple of 70,38,165 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 70,38,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,38,165) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(70,38,165) x common factors =1 x 10 = 10

LCM(70,38,165) = ( 70 × 38 × 165 ) / 10

LCM(70,38,165) = 438900 / 10

LCM(70,38,165) = 43890


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 734/70, 703/38, 460/165

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 734/70, 703/38, 460/165?

Answer: GCF of Numerators as per given numbers 734/70, 703/38, 460/165 is

GCF of Numerators i.e. for 734,703,460 is 1

LCM of denominators i.e. for 70,38,165 is 43890.

Thus, GCF of Fractions is 1/43890.Finally, GCF of Fractions for 734/70, 703/38, 460/165 is 1/43890.