Greatest Common Factor of 73/70, 433/66, 960/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 73/70, 433/66, 960/538

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 73/70,433/66,960/538

Given fractions are 73/70,433/66,960/538

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 73,433,960

Greatest Common Factor of Numerators i.e. GCF of 73,433,960 is 1 .

LCM of Denominators means LCM of 70,66,538 as per the given fractions.

LCM of 70,66,538 is 621390 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 73,433,960

GCF of Fractions 73/70,433/66,960/538 is 1/621390

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

Greatest Common Factor of 73,433,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,433,960 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 73,433,960 . The biggest common factor number is the GCF number.
So the greatest common factor 73,433,960 is 1.

Lets's calculate LCM of 70,66,538

2 70, 66, 538
35, 33, 269

∴ So the LCM of the given numbers is 2 x 35 x 33 x 269 = 621390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/621390

Therefore, the GCF of Fractions 73/70,433/66,960/538 is 1/621390

Least Common Multiple of 70,66,538 with GCF Formula

Least Common Multiple of 70,66,538 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 70,66,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,66,538) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(70,66,538) x common factors =2 x 2 = 4

LCM(70,66,538) = ( 70 × 66 × 538 ) / 4

LCM(70,66,538) = 2485560 / 4

LCM(70,66,538) = 621390


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 73/70, 433/66, 960/538

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 73/70, 433/66, 960/538?

Answer: GCF of Numerators as per given numbers 73/70, 433/66, 960/538 is

GCF of Numerators i.e. for 73,433,960 is 1

LCM of denominators i.e. for 70,66,538 is 621390.

Thus, GCF of Fractions is 1/621390.Finally, GCF of Fractions for 73/70, 433/66, 960/538 is 1/621390.