GCF of 36/87, 36/55, 960/286
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 36/87, 36/55, 960/286 i.e 12/124410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/87, 36/55, 960/286.
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 36/87,36/55,960/286?
Given fractions are 36/87,36/55,960/286
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 36/87,36/55,960/286, numerators are 36,36,960
Denominators are 87,55,286
The GCF of 36,36,960 is 12 .
LCM of 87,55,286 is 124410.
The greatest common factor of 36/87,36/55,960/286 = [GCF of 36,36,960]/[LCM of 87,55,286]= 12/124410
Therefore, the GCF of 36/87,36/55,960/286 is 12/124410.
To find the highest common factor of 36,36,960, we have to find the factors of both numbers and list the highest common factor.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
The HCF of 36,36,960 is 12.
Lets's calculate GCF of 36,36,960
| 2 | 36, 36, 960 |
| 2 | 18, 18, 480 |
| 3 | 9, 9, 240 |
| 3, 3, 80 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 36,36,960 By Matching Biggest Common Factor Method
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 960
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Greatest Common Factor
We found the factors 36,36,960 . The biggest common factor number is the GCF number.
So the greatest common factor 36,36,960 is 12.
Lets's calculate LCM of 87,55,286
| 11 | 87, 55, 286 |
| 87, 5, 26 |
∴ So the LCM of the given numbers is 11 x 87 x 5 x 26 = 124410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/124410
Therefore, the GCF of Fractions 36/87,36/55,960/286 is 12/124410
Least Common Multiple of 87,55,286 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 87,55,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,55,286) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(87,55,286) x common factors =1 x 11 = 11
LCM(87,55,286) = ( 87 × 55 × 286 ) / 11
LCM(87,55,286) = 1368510 / 11
LCM(87,55,286) = 124410
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FAQs on GCF of Fractions of 36/87, 36/55, 960/286
1. What is the HCF of 36,36,960?
The HCF of 36,36,960 is 12
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 36/87, 36/55, 960/286?
Answer: GCF of Numerators as per given numbers 36/87, 36/55, 960/286 is
GCF of Numerators i.e. for 36,36,960 is 12
LCM of denominators i.e. for 87,55,286 is 124410.
Thus, GCF of Fractions is 12/124410.Finally, GCF of Fractions for 36/87, 36/55, 960/286 is 12/124410.