GCF of 947/288, 365/216
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 947/288, 365/216 i.e 1/864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 947/288, 365/216.
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 947/288,365/216?
Given fractions are 947/288,365/216
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 947/288,365/216, numerators are 947,365
Denominators are 288,216
The GCF of 947,365 is 1 .
LCM of 288,216 is 864.
The greatest common factor of 947/288,365/216 = [GCF of 947,365]/[LCM of 288,216]= 1/864
Therefore, the GCF of 947/288,365/216 is 1/864.
To find the highest common factor of 947,365, we have to find the factors of both numbers and list the highest common factor.
The factors of 947 are 1, 947
The factors of 365 are 1, 5, 73, 365
The HCF of 947,365 is 1.
Lets's calculate GCF of 947,365
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 947,365 By Matching Biggest Common Factor Method
Now, list down the factors of 947
:1,947
Now, list down the factors of 365
:1,5,73,365
Greatest Common Factor
We found the factors 947,365 . The biggest common factor number is the GCF number.
So the greatest common factor 947,365 is 1.
Lets's calculate LCM of 288,216
| 2 | 288, 216 |
| 2 | 144, 108 |
| 2 | 72, 54 |
| 3 | 36, 27 |
| 3 | 12, 9 |
| 4, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 4 x 3 = 864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/864
Therefore, the GCF of Fractions 947/288,365/216 is 1/864
Least Common Multiple of 288,216 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 288,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,216) = 72
common factors(in case of two or more numbers have common factors) = 1
GCF(288,216) x common factors =72 x 1 = 72
LCM(288,216) = ( 288 × 216 ) / 72
LCM(288,216) = 62208 / 72
LCM(288,216) = 864
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FAQs on GCF of Fractions of 947/288, 365/216
1. What is the HCF of 947,365?
The HCF of 947,365 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 947/288, 365/216?
Answer: GCF of Numerators as per given numbers 947/288, 365/216 is
GCF of Numerators i.e. for 947,365 is 1
LCM of denominators i.e. for 288,216 is 864.
Thus, GCF of Fractions is 1/864.Finally, GCF of Fractions for 947/288, 365/216 is 1/864.