GCF of 715/51, 480/17, 150/66
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 715/51, 480/17, 150/66 i.e 5/1122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 715/51, 480/17, 150/66.
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 715/51,480/17,150/66?
Given fractions are 715/51,480/17,150/66
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 715/51,480/17,150/66, numerators are 715,480,150
Denominators are 51,17,66
The GCF of 715,480,150 is 5 .
LCM of 51,17,66 is 1122.
The greatest common factor of 715/51,480/17,150/66 = [GCF of 715,480,150]/[LCM of 51,17,66]= 5/1122
Therefore, the GCF of 715/51,480/17,150/66 is 5/1122.
To find the highest common factor of 715,480,150, we have to find the factors of both numbers and list the highest common factor.
The factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715
The factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
The HCF of 715,480,150 is 5.
Lets's calculate GCF of 715,480,150
| 5 | 715, 480, 150 |
| 143, 96, 30 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 715,480,150 By Matching Biggest Common Factor Method
Now, list down the factors of 715
:1,5,11,13,55,65,143,715
Now, list down the factors of 480
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480
Now, list down the factors of 150
:1,2,3,5,6,10,15,25,30,50,75,150
Greatest Common Factor
We found the factors 715,480,150 . The biggest common factor number is the GCF number.
So the greatest common factor 715,480,150 is 5.
Lets's calculate LCM of 51,17,66
| 3 | 51, 17, 66 |
| 17 | 17, 17, 22 |
| 1, 1, 22 |
∴ So the LCM of the given numbers is 3 x 17 x 1 x 1 x 22 = 1122
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1122
Therefore, the GCF of Fractions 715/51,480/17,150/66 is 5/1122
Least Common Multiple of 51,17,66 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 51,17,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,17,66) = 1
common factors(in case of two or more numbers have common factors) = 51
GCF(51,17,66) x common factors =1 x 51 = 51
LCM(51,17,66) = ( 51 × 17 × 66 ) / 51
LCM(51,17,66) = 57222 / 51
LCM(51,17,66) = 1122
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FAQs on GCF of Fractions of 715/51, 480/17, 150/66
1. What is the HCF of 715,480,150?
The HCF of 715,480,150 is 5
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 715/51, 480/17, 150/66?
Answer: GCF of Numerators as per given numbers 715/51, 480/17, 150/66 is
GCF of Numerators i.e. for 715,480,150 is 5
LCM of denominators i.e. for 51,17,66 is 1122.
Thus, GCF of Fractions is 5/1122.Finally, GCF of Fractions for 715/51, 480/17, 150/66 is 5/1122.