GCF of 915/27, 983/84, 314/68
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 915/27, 983/84, 314/68 i.e 1/12852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 915/27, 983/84, 314/68.
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 915/27,983/84,314/68?
Given fractions are 915/27,983/84,314/68
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 915/27,983/84,314/68, numerators are 915,983,314
Denominators are 27,84,68
The GCF of 915,983,314 is 1 .
LCM of 27,84,68 is 12852.
The greatest common factor of 915/27,983/84,314/68 = [GCF of 915,983,314]/[LCM of 27,84,68]= 1/12852
Therefore, the GCF of 915/27,983/84,314/68 is 1/12852.
To find the highest common factor of 915,983,314, we have to find the factors of both numbers and list the highest common factor.
The factors of 915 are 1, 3, 5, 15, 61, 183, 305, 915
The factors of 983 are 1, 983
The factors of 314 are 1, 2, 157, 314
The HCF of 915,983,314 is 1.
Lets's calculate GCF of 915,983,314
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 915,983,314 By Matching Biggest Common Factor Method
Now, list down the factors of 915
:1,3,5,15,61,183,305,915
Now, list down the factors of 983
:1,983
Now, list down the factors of 314
:1,2,157,314
Greatest Common Factor
We found the factors 915,983,314 . The biggest common factor number is the GCF number.
So the greatest common factor 915,983,314 is 1.
Lets's calculate LCM of 27,84,68
| 2 | 27, 84, 68 |
| 2 | 27, 42, 34 |
| 3 | 27, 21, 17 |
| 9, 7, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 9 x 7 x 17 = 12852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12852
Therefore, the GCF of Fractions 915/27,983/84,314/68 is 1/12852
Least Common Multiple of 27,84,68 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 27,84,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,84,68) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(27,84,68) x common factors =1 x 12 = 12
LCM(27,84,68) = ( 27 × 84 × 68 ) / 12
LCM(27,84,68) = 154224 / 12
LCM(27,84,68) = 12852
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FAQs on GCF of Fractions of 915/27, 983/84, 314/68
1. What is the HCF of 915,983,314?
The HCF of 915,983,314 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 915/27, 983/84, 314/68?
Answer: GCF of Numerators as per given numbers 915/27, 983/84, 314/68 is
GCF of Numerators i.e. for 915,983,314 is 1
LCM of denominators i.e. for 27,84,68 is 12852.
Thus, GCF of Fractions is 1/12852.Finally, GCF of Fractions for 915/27, 983/84, 314/68 is 1/12852.