GCF of 966/416, 8717/540
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 966/416, 8717/540 i.e 23/56160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 966/416, 8717/540.
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 966/416,8717/540?
Given fractions are 966/416,8717/540
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 966/416,8717/540, numerators are 966,8717
Denominators are 416,540
The GCF of 966,8717 is 23 .
LCM of 416,540 is 56160.
The greatest common factor of 966/416,8717/540 = [GCF of 966,8717]/[LCM of 416,540]= 23/56160
Therefore, the GCF of 966/416,8717/540 is 23/56160.
To find the highest common factor of 966,8717, we have to find the factors of both numbers and list the highest common factor.
The factors of 966 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
The factors of 8717 are 1, 23, 379, 8717
The HCF of 966,8717 is 23.
Lets's calculate GCF of 966,8717
| 23 | 966, 8717 |
| 42, 379 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 966,8717 By Matching Biggest Common Factor Method
Now, list down the factors of 966
:1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Now, list down the factors of 8717
:1,23,379,8717
Greatest Common Factor
We found the factors 966,8717 . The biggest common factor number is the GCF number.
So the greatest common factor 966,8717 is 23.
Lets's calculate LCM of 416,540
| 2 | 416, 540 |
| 2 | 208, 270 |
| 104, 135 |
∴ So the LCM of the given numbers is 2 x 2 x 104 x 135 = 56160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/56160
Therefore, the GCF of Fractions 966/416,8717/540 is 23/56160
Least Common Multiple of 416,540 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 416,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,540) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(416,540) x common factors =4 x 1 = 4
LCM(416,540) = ( 416 × 540 ) / 4
LCM(416,540) = 224640 / 4
LCM(416,540) = 56160
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FAQs on GCF of Fractions of 966/416, 8717/540
1. What is the HCF of 966,8717?
The HCF of 966,8717 is 23
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 966/416, 8717/540?
Answer: GCF of Numerators as per given numbers 966/416, 8717/540 is
GCF of Numerators i.e. for 966,8717 is 23
LCM of denominators i.e. for 416,540 is 56160.
Thus, GCF of Fractions is 23/56160.Finally, GCF of Fractions for 966/416, 8717/540 is 23/56160.