GCF of 516/48, 159/972
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 516/48, 159/972 i.e 3/3888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 516/48, 159/972.
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 516/48,159/972?
Given fractions are 516/48,159/972
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 516/48,159/972, numerators are 516,159
Denominators are 48,972
The GCF of 516,159 is 3 .
LCM of 48,972 is 3888.
The greatest common factor of 516/48,159/972 = [GCF of 516,159]/[LCM of 48,972]= 3/3888
Therefore, the GCF of 516/48,159/972 is 3/3888.
To find the highest common factor of 516,159, we have to find the factors of both numbers and list the highest common factor.
The factors of 516 are 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
The factors of 159 are 1, 3, 53, 159
The HCF of 516,159 is 3.
Lets's calculate GCF of 516,159
| 3 | 516, 159 |
| 172, 53 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 516,159 By Matching Biggest Common Factor Method
Now, list down the factors of 516
:1,2,3,4,6,12,43,86,129,172,258,516
Now, list down the factors of 159
:1,3,53,159
Greatest Common Factor
We found the factors 516,159 . The biggest common factor number is the GCF number.
So the greatest common factor 516,159 is 3.
Lets's calculate LCM of 48,972
| 2 | 48, 972 |
| 2 | 24, 486 |
| 3 | 12, 243 |
| 4, 81 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 81 = 3888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3888
Therefore, the GCF of Fractions 516/48,159/972 is 3/3888
Least Common Multiple of 48,972 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 48,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,972) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(48,972) x common factors =12 x 1 = 12
LCM(48,972) = ( 48 × 972 ) / 12
LCM(48,972) = 46656 / 12
LCM(48,972) = 3888
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 516/48, 159/972
1. What is the HCF of 516,159?
The HCF of 516,159 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 516/48, 159/972?
Answer: GCF of Numerators as per given numbers 516/48, 159/972 is
GCF of Numerators i.e. for 516,159 is 3
LCM of denominators i.e. for 48,972 is 3888.
Thus, GCF of Fractions is 3/3888.Finally, GCF of Fractions for 516/48, 159/972 is 3/3888.