GCF of 99/987, 78/557, 462/102
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 99/987, 78/557, 462/102 i.e 3/18691806 easily. The following is the detailed procedure to determine the greatest common factor of fractions 99/987, 78/557, 462/102.
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 99/987,78/557,462/102?
Given fractions are 99/987,78/557,462/102
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 99/987,78/557,462/102, numerators are 99,78,462
Denominators are 987,557,102
The GCF of 99,78,462 is 3 .
LCM of 987,557,102 is 18691806.
The greatest common factor of 99/987,78/557,462/102 = [GCF of 99,78,462]/[LCM of 987,557,102]= 3/18691806
Therefore, the GCF of 99/987,78/557,462/102 is 3/18691806.
To find the highest common factor of 99,78,462, 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 78 are 1, 2, 3, 6, 13, 26, 39, 78
The factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
The HCF of 99,78,462 is 3.
Lets's calculate GCF of 99,78,462
| 3 | 99, 78, 462 |
| 33, 26, 154 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 99,78,462 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 78
:1,2,3,6,13,26,39,78
Now, list down the factors of 462
:1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Greatest Common Factor
We found the factors 99,78,462 . The biggest common factor number is the GCF number.
So the greatest common factor 99,78,462 is 3.
Lets's calculate LCM of 987,557,102
| 3 | 987, 557, 102 |
| 329, 557, 34 |
∴ So the LCM of the given numbers is 3 x 329 x 557 x 34 = 18691806
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/18691806
Therefore, the GCF of Fractions 99/987,78/557,462/102 is 3/18691806
Least Common Multiple of 987,557,102 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 987,557,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,557,102) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(987,557,102) x common factors =1 x 3 = 3
LCM(987,557,102) = ( 987 × 557 × 102 ) / 3
LCM(987,557,102) = 56075418 / 3
LCM(987,557,102) = 18691806
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 99/987, 78/557, 462/102
1. What is the HCF of 99,78,462?
The HCF of 99,78,462 is 3
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 99/987, 78/557, 462/102?
Answer: GCF of Numerators as per given numbers 99/987, 78/557, 462/102 is
GCF of Numerators i.e. for 99,78,462 is 3
LCM of denominators i.e. for 987,557,102 is 18691806.
Thus, GCF of Fractions is 3/18691806.Finally, GCF of Fractions for 99/987, 78/557, 462/102 is 3/18691806.