GCF of 215/768, 9346/390
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 215/768, 9346/390 i.e 1/49920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 215/768, 9346/390.
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 215/768,9346/390?
Given fractions are 215/768,9346/390
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 215/768,9346/390, numerators are 215,9346
Denominators are 768,390
The GCF of 215,9346 is 1 .
LCM of 768,390 is 49920.
The greatest common factor of 215/768,9346/390 = [GCF of 215,9346]/[LCM of 768,390]= 1/49920
Therefore, the GCF of 215/768,9346/390 is 1/49920.
To find the highest common factor of 215,9346, we have to find the factors of both numbers and list the highest common factor.
The factors of 215 are 1, 5, 43, 215
The factors of 9346 are 1, 2, 4673, 9346
The HCF of 215,9346 is 1.
Lets's calculate GCF of 215,9346
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 215,9346 By Matching Biggest Common Factor Method
Now, list down the factors of 215
:1,5,43,215
Now, list down the factors of 9346
:1,2,4673,9346
Greatest Common Factor
We found the factors 215,9346 . The biggest common factor number is the GCF number.
So the greatest common factor 215,9346 is 1.
Lets's calculate LCM of 768,390
| 2 | 768, 390 |
| 3 | 384, 195 |
| 128, 65 |
∴ So the LCM of the given numbers is 2 x 3 x 128 x 65 = 49920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49920
Therefore, the GCF of Fractions 215/768,9346/390 is 1/49920
Least Common Multiple of 768,390 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 768,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,390) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(768,390) x common factors =6 x 1 = 6
LCM(768,390) = ( 768 × 390 ) / 6
LCM(768,390) = 299520 / 6
LCM(768,390) = 49920
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FAQs on GCF of Fractions of 215/768, 9346/390
1. What is the HCF of 215,9346?
The HCF of 215,9346 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 215/768, 9346/390?
Answer: GCF of Numerators as per given numbers 215/768, 9346/390 is
GCF of Numerators i.e. for 215,9346 is 1
LCM of denominators i.e. for 768,390 is 49920.
Thus, GCF of Fractions is 1/49920.Finally, GCF of Fractions for 215/768, 9346/390 is 1/49920.