GCF of 99/36, 715/60, 385/577
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 99/36, 715/60, 385/577 i.e 11/103860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 99/36, 715/60, 385/577.
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 99/36,715/60,385/577?
Given fractions are 99/36,715/60,385/577
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 99/36,715/60,385/577, numerators are 99,715,385
Denominators are 36,60,577
The GCF of 99,715,385 is 11 .
LCM of 36,60,577 is 103860.
The greatest common factor of 99/36,715/60,385/577 = [GCF of 99,715,385]/[LCM of 36,60,577]= 11/103860
Therefore, the GCF of 99/36,715/60,385/577 is 11/103860.
To find the highest common factor of 99,715,385, we have to find the factors of both numbers and list the highest common factor.
The factors of 99 are 1, 3, 9, 11, 33, 99
The factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715
The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385
The HCF of 99,715,385 is 11.
Lets's calculate GCF of 99,715,385
| 11 | 99, 715, 385 |
| 9, 65, 35 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 99,715,385 By Matching Biggest Common Factor Method
Now, list down the factors of 99
:1,3,9,11,33,99
Now, list down the factors of 715
:1,5,11,13,55,65,143,715
Now, list down the factors of 385
:1,5,7,11,35,55,77,385
Greatest Common Factor
We found the factors 99,715,385 . The biggest common factor number is the GCF number.
So the greatest common factor 99,715,385 is 11.
Lets's calculate LCM of 36,60,577
| 2 | 36, 60, 577 |
| 2 | 18, 30, 577 |
| 3 | 9, 15, 577 |
| 3, 5, 577 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 577 = 103860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/103860
Therefore, the GCF of Fractions 99/36,715/60,385/577 is 11/103860
Least Common Multiple of 36,60,577 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 36,60,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,60,577) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(36,60,577) x common factors =1 x 12 = 12
LCM(36,60,577) = ( 36 × 60 × 577 ) / 12
LCM(36,60,577) = 1246320 / 12
LCM(36,60,577) = 103860
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FAQs on GCF of Fractions of 99/36, 715/60, 385/577
1. What is the HCF of 99,715,385?
The HCF of 99,715,385 is 11
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 99/36, 715/60, 385/577?
Answer: GCF of Numerators as per given numbers 99/36, 715/60, 385/577 is
GCF of Numerators i.e. for 99,715,385 is 11
LCM of denominators i.e. for 36,60,577 is 103860.
Thus, GCF of Fractions is 11/103860.Finally, GCF of Fractions for 99/36, 715/60, 385/577 is 11/103860.