GCF of 2016/509, 6594/1332
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2016/509, 6594/1332 i.e 42/677988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2016/509, 6594/1332.
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 2016/509,6594/1332?
Given fractions are 2016/509,6594/1332
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 2016/509,6594/1332, numerators are 2016,6594
Denominators are 509,1332
The GCF of 2016,6594 is 42 .
LCM of 509,1332 is 677988.
The greatest common factor of 2016/509,6594/1332 = [GCF of 2016,6594]/[LCM of 509,1332]= 42/677988
Therefore, the GCF of 2016/509,6594/1332 is 42/677988.
To find the highest common factor of 2016,6594, we have to find the factors of both numbers and list the highest common factor.
The factors of 2016 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008, 2016
The factors of 6594 are 1, 2, 3, 6, 7, 14, 21, 42, 157, 314, 471, 942, 1099, 2198, 3297, 6594
The HCF of 2016,6594 is 42.
Lets's calculate GCF of 2016,6594
| 2 | 2016, 6594 |
| 3 | 1008, 3297 |
| 7 | 336, 1099 |
| 48, 157 |
∴ So the GCF of the given numbers is 2 x 3 x 7 = 42
Greatest Common Factor of 2016,6594 By Matching Biggest Common Factor Method
Now, list down the factors of 2016
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,72,84,96,112,126,144,168,224,252,288,336,504,672,1008,2016
Now, list down the factors of 6594
:1,2,3,6,7,14,21,42,157,314,471,942,1099,2198,3297,6594
Greatest Common Factor
We found the factors 2016,6594 . The biggest common factor number is the GCF number.
So the greatest common factor 2016,6594 is 42.
Lets's calculate LCM of 509,1332
Given numbers has no common factors except 1. So, there LCM is their product i.e 677988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/677988
Therefore, the GCF of Fractions 2016/509,6594/1332 is 42/677988
Least Common Multiple of 509,1332 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 509,1332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,1332) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,1332) x common factors =1 x 1 = 1
LCM(509,1332) = ( 509 × 1332 ) / 1
LCM(509,1332) = 677988 / 1
LCM(509,1332) = 677988
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2016/509, 6594/1332
1. What is the HCF of 2016,6594?
The HCF of 2016,6594 is 42
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 2016/509, 6594/1332?
Answer: GCF of Numerators as per given numbers 2016/509, 6594/1332 is
GCF of Numerators i.e. for 2016,6594 is 42
LCM of denominators i.e. for 509,1332 is 677988.
Thus, GCF of Fractions is 42/677988.Finally, GCF of Fractions for 2016/509, 6594/1332 is 42/677988.