GCF of 386/28, 483/83, 425/84
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 386/28, 483/83, 425/84 i.e 1/6972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 386/28, 483/83, 425/84.
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 386/28,483/83,425/84?
Given fractions are 386/28,483/83,425/84
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 386/28,483/83,425/84, numerators are 386,483,425
Denominators are 28,83,84
The GCF of 386,483,425 is 1 .
LCM of 28,83,84 is 6972.
The greatest common factor of 386/28,483/83,425/84 = [GCF of 386,483,425]/[LCM of 28,83,84]= 1/6972
Therefore, the GCF of 386/28,483/83,425/84 is 1/6972.
To find the highest common factor of 386,483,425, we have to find the factors of both numbers and list the highest common factor.
The factors of 386 are 1, 2, 193, 386
The factors of 483 are 1, 3, 7, 21, 23, 69, 161, 483
The factors of 425 are 1, 5, 17, 25, 85, 425
The HCF of 386,483,425 is 1.
Lets's calculate GCF of 386,483,425
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 386,483,425 By Matching Biggest Common Factor Method
Now, list down the factors of 386
:1,2,193,386
Now, list down the factors of 483
:1,3,7,21,23,69,161,483
Now, list down the factors of 425
:1,5,17,25,85,425
Greatest Common Factor
We found the factors 386,483,425 . The biggest common factor number is the GCF number.
So the greatest common factor 386,483,425 is 1.
Lets's calculate LCM of 28,83,84
| 2 | 28, 83, 84 |
| 2 | 14, 83, 42 |
| 7 | 7, 83, 21 |
| 1, 83, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 1 x 83 x 3 = 6972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6972
Therefore, the GCF of Fractions 386/28,483/83,425/84 is 1/6972
Least Common Multiple of 28,83,84 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 28,83,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,83,84) = 1
common factors(in case of two or more numbers have common factors) = 28
GCF(28,83,84) x common factors =1 x 28 = 28
LCM(28,83,84) = ( 28 × 83 × 84 ) / 28
LCM(28,83,84) = 195216 / 28
LCM(28,83,84) = 6972
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 386/28, 483/83, 425/84
1. What is the HCF of 386,483,425?
The HCF of 386,483,425 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 386/28, 483/83, 425/84?
Answer: GCF of Numerators as per given numbers 386/28, 483/83, 425/84 is
GCF of Numerators i.e. for 386,483,425 is 1
LCM of denominators i.e. for 28,83,84 is 6972.
Thus, GCF of Fractions is 1/6972.Finally, GCF of Fractions for 386/28, 483/83, 425/84 is 1/6972.