GCF of 612/454, 378/767, 389/111
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 612/454, 378/767, 389/111 i.e 1/38652198 easily. The following is the detailed procedure to determine the greatest common factor of fractions 612/454, 378/767, 389/111.
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 612/454,378/767,389/111?
Given fractions are 612/454,378/767,389/111
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 612/454,378/767,389/111, numerators are 612,378,389
Denominators are 454,767,111
The GCF of 612,378,389 is 1 .
LCM of 454,767,111 is 38652198.
The greatest common factor of 612/454,378/767,389/111 = [GCF of 612,378,389]/[LCM of 454,767,111]= 1/38652198
Therefore, the GCF of 612/454,378/767,389/111 is 1/38652198.
To find the highest common factor of 612,378,389, we have to find the factors of both numbers and list the highest common factor.
The factors of 612 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
The factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
The factors of 389 are 1, 389
The HCF of 612,378,389 is 1.
Lets's calculate GCF of 612,378,389
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 612,378,389 By Matching Biggest Common Factor Method
Now, list down the factors of 612
:1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
Now, list down the factors of 378
:1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Now, list down the factors of 389
:1,389
Greatest Common Factor
We found the factors 612,378,389 . The biggest common factor number is the GCF number.
So the greatest common factor 612,378,389 is 1.
Lets's calculate LCM of 454,767,111
Given numbers has no common factors except 1. So, there LCM is their product i.e 38652198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38652198
Therefore, the GCF of Fractions 612/454,378/767,389/111 is 1/38652198
Least Common Multiple of 454,767,111 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 454,767,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,767,111) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(454,767,111) x common factors =1 x 1 = 1
LCM(454,767,111) = ( 454 × 767 × 111 ) / 1
LCM(454,767,111) = 38652198 / 1
LCM(454,767,111) = 38652198
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 612/454, 378/767, 389/111
1. What is the HCF of 612,378,389?
The HCF of 612,378,389 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 612/454, 378/767, 389/111?
Answer: GCF of Numerators as per given numbers 612/454, 378/767, 389/111 is
GCF of Numerators i.e. for 612,378,389 is 1
LCM of denominators i.e. for 454,767,111 is 38652198.
Thus, GCF of Fractions is 1/38652198.Finally, GCF of Fractions for 612/454, 378/767, 389/111 is 1/38652198.