GCF of 73/93, 694/71, 269/382
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 73/93, 694/71, 269/382 i.e 1/2522346 easily. The following is the detailed procedure to determine the greatest common factor of fractions 73/93, 694/71, 269/382.
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 73/93,694/71,269/382?
Given fractions are 73/93,694/71,269/382
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 73/93,694/71,269/382, numerators are 73,694,269
Denominators are 93,71,382
The GCF of 73,694,269 is 1 .
LCM of 93,71,382 is 2522346.
The greatest common factor of 73/93,694/71,269/382 = [GCF of 73,694,269]/[LCM of 93,71,382]= 1/2522346
Therefore, the GCF of 73/93,694/71,269/382 is 1/2522346.
To find the highest common factor of 73,694,269, 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 694 are 1, 2, 347, 694
The factors of 269 are 1, 269
The HCF of 73,694,269 is 1.
Lets's calculate GCF of 73,694,269
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 73,694,269 By Matching Biggest Common Factor Method
Now, list down the factors of 73
:1,73
Now, list down the factors of 694
:1,2,347,694
Now, list down the factors of 269
:1,269
Greatest Common Factor
We found the factors 73,694,269 . The biggest common factor number is the GCF number.
So the greatest common factor 73,694,269 is 1.
Lets's calculate LCM of 93,71,382
Given numbers has no common factors except 1. So, there LCM is their product i.e 2522346
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2522346
Therefore, the GCF of Fractions 73/93,694/71,269/382 is 1/2522346
Least Common Multiple of 93,71,382 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 93,71,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,71,382) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,71,382) x common factors =1 x 1 = 1
LCM(93,71,382) = ( 93 × 71 × 382 ) / 1
LCM(93,71,382) = 2522346 / 1
LCM(93,71,382) = 2522346
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 73/93, 694/71, 269/382
1. What is the HCF of 73,694,269?
The HCF of 73,694,269 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 73/93, 694/71, 269/382?
Answer: GCF of Numerators as per given numbers 73/93, 694/71, 269/382 is
GCF of Numerators i.e. for 73,694,269 is 1
LCM of denominators i.e. for 93,71,382 is 2522346.
Thus, GCF of Fractions is 1/2522346.Finally, GCF of Fractions for 73/93, 694/71, 269/382 is 1/2522346.