GCF of 386/928, 360/319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 386/928, 360/319 i.e 2/10208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 386/928, 360/319.
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 386/928,360/319?
Given fractions are 386/928,360/319
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 386/928,360/319, numerators are 386,360
Denominators are 928,319
The GCF of 386,360 is 2 .
LCM of 928,319 is 10208.
The greatest common factor of 386/928,360/319 = [GCF of 386,360]/[LCM of 928,319]= 2/10208
Therefore, the GCF of 386/928,360/319 is 2/10208.
To find the highest common factor of 386,360, 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 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
The HCF of 386,360 is 2.
Lets's calculate GCF of 386,360
| 2 | 386, 360 |
| 193, 180 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 386,360 By Matching Biggest Common Factor Method
Now, list down the factors of 386
:1,2,193,386
Now, list down the factors of 360
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Greatest Common Factor
We found the factors 386,360 . The biggest common factor number is the GCF number.
So the greatest common factor 386,360 is 2.
Lets's calculate LCM of 928,319
| 29 | 928, 319 |
| 32, 11 |
∴ So the LCM of the given numbers is 29 x 32 x 11 = 10208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10208
Therefore, the GCF of Fractions 386/928,360/319 is 2/10208
Least Common Multiple of 928,319 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 928,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(928,319) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(928,319) x common factors =29 x 1 = 29
LCM(928,319) = ( 928 × 319 ) / 29
LCM(928,319) = 296032 / 29
LCM(928,319) = 10208
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FAQs on GCF of Fractions of 386/928, 360/319
1. What is the HCF of 386,360?
The HCF of 386,360 is 2
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 386/928, 360/319?
Answer: GCF of Numerators as per given numbers 386/928, 360/319 is
GCF of Numerators i.e. for 386,360 is 2
LCM of denominators i.e. for 928,319 is 10208.
Thus, GCF of Fractions is 2/10208.Finally, GCF of Fractions for 386/928, 360/319 is 2/10208.