How to Find GCF of 73/233, 89/754, 985/897?

GCF of 73/233, 89/754, 985/897

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 73/233, 89/754, 985/897 i.e 1/12122058 easily. The following is the detailed procedure to determine the greatest common factor of fractions 73/233, 89/754, 985/897.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 73/233,89/754,985/897?

Given fractions are 73/233,89/754,985/897

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 73/233,89/754,985/897, numerators are 73,89,985

Denominators are 233,754,897

The GCF of 73,89,985 is 1 .

LCM of 233,754,897 is 12122058.

The greatest common factor of 73/233,89/754,985/897 = [GCF of 73,89,985]/[LCM of 233,754,897]= 1/12122058

Therefore, the GCF of 73/233,89/754,985/897 is 1/12122058.

Greatest Common Factor of 73,89,985

To find the highest common factor of 73,89,985, we have to find the factors of both numbers and list the highest common factor.

The factors of 73 are 1, 73

The factors of 89 are 1, 89

The factors of 985 are 1, 5, 197, 985

The HCF of 73,89,985 is 1.

Lets's calculate GCF of 73,89,985

Greatest Common Factor (GCF) of 73,89,985 By Common Division

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

Greatest Common Factor of 73,89,985 By Matching Biggest Common Factor Method

Now, list down the factors of 73

1,73

Now, list down the factors of 89

1,89

Now, list down the factors of 985

1,5,197,985

Greatest Common Factor

We found the factors 73,89,985 . The biggest common factor number is the GCF number.
So the greatest common factor 73,89,985 is 1.

Lets's calculate LCM of 233,754,897

Lowest Common Multiple of 233,754,897 using Common Division

13	233, 754, 897
	233, 58, 69

∴ So the LCM of the given numbers is 13 x 233 x 58 x 69 = 12122058

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12122058

Therefore, the GCF of Fractions 73/233,89/754,985/897 is 1/12122058

Least Common Multiple of 233,754,897 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 233,754,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(233,754,897) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(233,754,897) x common factors =1 x 13 = 13

LCM(233,754,897) = ( 233 × 754 × 897 ) / 13

LCM(233,754,897) = 157586754 / 13

LCM(233,754,897) = 12122058

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 73/233, 89/754, 985/897

1. What is the HCF of 73,89,985?

The HCF of 73,89,985 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 73/233, 89/754, 985/897?

Answer: GCF of Numerators as per given numbers 73/233, 89/754, 985/897 is

GCF of Numerators i.e. for 73,89,985 is 1

LCM of denominators i.e. for 233,754,897 is 12122058.

Thus, GCF of Fractions is 1/12122058.Finally, GCF of Fractions for 73/233, 89/754, 985/897 is 1/12122058.