GCF of 80/21, 283/69, 378/194
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 80/21, 283/69, 378/194 i.e 1/93702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 80/21, 283/69, 378/194.
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 80/21,283/69,378/194?
Given fractions are 80/21,283/69,378/194
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 80/21,283/69,378/194, numerators are 80,283,378
Denominators are 21,69,194
The GCF of 80,283,378 is 1 .
LCM of 21,69,194 is 93702.
The greatest common factor of 80/21,283/69,378/194 = [GCF of 80,283,378]/[LCM of 21,69,194]= 1/93702
Therefore, the GCF of 80/21,283/69,378/194 is 1/93702.
To find the highest common factor of 80,283,378, we have to find the factors of both numbers and list the highest common factor.
The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
The factors of 283 are 1, 283
The factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
The HCF of 80,283,378 is 1.
Lets's calculate GCF of 80,283,378
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 80,283,378 By Matching Biggest Common Factor Method
Now, list down the factors of 80
:1,2,4,5,8,10,16,20,40,80
Now, list down the factors of 283
:1,283
Now, list down the factors of 378
:1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Greatest Common Factor
We found the factors 80,283,378 . The biggest common factor number is the GCF number.
So the greatest common factor 80,283,378 is 1.
Lets's calculate LCM of 21,69,194
| 3 | 21, 69, 194 |
| 7, 23, 194 |
∴ So the LCM of the given numbers is 3 x 7 x 23 x 194 = 93702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93702
Therefore, the GCF of Fractions 80/21,283/69,378/194 is 1/93702
Least Common Multiple of 21,69,194 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 21,69,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,69,194) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(21,69,194) x common factors =1 x 3 = 3
LCM(21,69,194) = ( 21 × 69 × 194 ) / 3
LCM(21,69,194) = 281106 / 3
LCM(21,69,194) = 93702
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 80/21, 283/69, 378/194
1. What is the HCF of 80,283,378?
The HCF of 80,283,378 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 80/21, 283/69, 378/194?
Answer: GCF of Numerators as per given numbers 80/21, 283/69, 378/194 is
GCF of Numerators i.e. for 80,283,378 is 1
LCM of denominators i.e. for 21,69,194 is 93702.
Thus, GCF of Fractions is 1/93702.Finally, GCF of Fractions for 80/21, 283/69, 378/194 is 1/93702.