GCF of 73/549, 81/646, 676/338
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 73/549, 81/646, 676/338 i.e 1/59936526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 73/549, 81/646, 676/338.
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 73/549,81/646,676/338?
Given fractions are 73/549,81/646,676/338
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 73/549,81/646,676/338, numerators are 73,81,676
Denominators are 549,646,338
The GCF of 73,81,676 is 1 .
LCM of 549,646,338 is 59936526.
The greatest common factor of 73/549,81/646,676/338 = [GCF of 73,81,676]/[LCM of 549,646,338]= 1/59936526
Therefore, the GCF of 73/549,81/646,676/338 is 1/59936526.
To find the highest common factor of 73,81,676, 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 81 are 1, 3, 9, 27, 81
The factors of 676 are 1, 2, 4, 13, 26, 52, 169, 338, 676
The HCF of 73,81,676 is 1.
Lets's calculate GCF of 73,81,676
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 73,81,676 By Matching Biggest Common Factor Method
Now, list down the factors of 73
:1,73
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 676
:1,2,4,13,26,52,169,338,676
Greatest Common Factor
We found the factors 73,81,676 . The biggest common factor number is the GCF number.
So the greatest common factor 73,81,676 is 1.
Lets's calculate LCM of 549,646,338
| 2 | 549, 646, 338 |
| 549, 323, 169 |
∴ So the LCM of the given numbers is 2 x 549 x 323 x 169 = 59936526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59936526
Therefore, the GCF of Fractions 73/549,81/646,676/338 is 1/59936526
Least Common Multiple of 549,646,338 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 549,646,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(549,646,338) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(549,646,338) x common factors =1 x 2 = 2
LCM(549,646,338) = ( 549 × 646 × 338 ) / 2
LCM(549,646,338) = 119873052 / 2
LCM(549,646,338) = 59936526
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 73/549, 81/646, 676/338
1. What is the HCF of 73,81,676?
The HCF of 73,81,676 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 73/549, 81/646, 676/338?
Answer: GCF of Numerators as per given numbers 73/549, 81/646, 676/338 is
GCF of Numerators i.e. for 73,81,676 is 1
LCM of denominators i.e. for 549,646,338 is 59936526.
Thus, GCF of Fractions is 1/59936526.Finally, GCF of Fractions for 73/549, 81/646, 676/338 is 1/59936526.