GCF of 855/66, 990/35, 315/64
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 855/66, 990/35, 315/64 i.e 45/73920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 855/66, 990/35, 315/64.
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 855/66,990/35,315/64?
Given fractions are 855/66,990/35,315/64
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 855/66,990/35,315/64, numerators are 855,990,315
Denominators are 66,35,64
The GCF of 855,990,315 is 45 .
LCM of 66,35,64 is 73920.
The greatest common factor of 855/66,990/35,315/64 = [GCF of 855,990,315]/[LCM of 66,35,64]= 45/73920
Therefore, the GCF of 855/66,990/35,315/64 is 45/73920.
To find the highest common factor of 855,990,315, we have to find the factors of both numbers and list the highest common factor.
The factors of 855 are 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
The factors of 990 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
The factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
The HCF of 855,990,315 is 45.
Lets's calculate GCF of 855,990,315
| 3 | 855, 990, 315 |
| 3 | 285, 330, 105 |
| 5 | 95, 110, 35 |
| 19, 22, 7 |
∴ So the GCF of the given numbers is 3 x 3 x 5 = 45
Greatest Common Factor of 855,990,315 By Matching Biggest Common Factor Method
Now, list down the factors of 855
:1,3,5,9,15,19,45,57,95,171,285,855
Now, list down the factors of 990
:1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Now, list down the factors of 315
:1,3,5,7,9,15,21,35,45,63,105,315
Greatest Common Factor
We found the factors 855,990,315 . The biggest common factor number is the GCF number.
So the greatest common factor 855,990,315 is 45.
Lets's calculate LCM of 66,35,64
| 2 | 66, 35, 64 |
| 33, 35, 32 |
∴ So the LCM of the given numbers is 2 x 33 x 35 x 32 = 73920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 45/73920
Therefore, the GCF of Fractions 855/66,990/35,315/64 is 45/73920
Least Common Multiple of 66,35,64 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 66,35,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,35,64) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(66,35,64) x common factors =1 x 2 = 2
LCM(66,35,64) = ( 66 × 35 × 64 ) / 2
LCM(66,35,64) = 147840 / 2
LCM(66,35,64) = 73920
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 855/66, 990/35, 315/64
1. What is the HCF of 855,990,315?
The HCF of 855,990,315 is 45
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 855/66, 990/35, 315/64?
Answer: GCF of Numerators as per given numbers 855/66, 990/35, 315/64 is
GCF of Numerators i.e. for 855,990,315 is 45
LCM of denominators i.e. for 66,35,64 is 73920.
Thus, GCF of Fractions is 45/73920.Finally, GCF of Fractions for 855/66, 990/35, 315/64 is 45/73920.