GCF of 516/947, 3024/947
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 516/947, 3024/947 i.e 12/947 easily. The following is the detailed procedure to determine the greatest common factor of fractions 516/947, 3024/947.
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 516/947,3024/947?
Given fractions are 516/947,3024/947
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 516/947,3024/947, numerators are 516,3024
Denominators are 947,947
The GCF of 516,3024 is 12 .
LCM of 947,947 is 947.
The greatest common factor of 516/947,3024/947 = [GCF of 516,3024]/[LCM of 947,947]= 12/947
Therefore, the GCF of 516/947,3024/947 is 12/947.
To find the highest common factor of 516,3024, 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 3024 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 84, 108, 112, 126, 144, 168, 189, 216, 252, 336, 378, 432, 504, 756, 1008, 1512, 3024
The HCF of 516,3024 is 12.
Lets's calculate GCF of 516,3024
| 2 | 516, 3024 |
| 2 | 258, 1512 |
| 3 | 129, 756 |
| 43, 252 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 516,3024 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 3024
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,36,42,48,54,56,63,72,84,108,112,126,144,168,189,216,252,336,378,432,504,756,1008,1512,3024
Greatest Common Factor
We found the factors 516,3024 . The biggest common factor number is the GCF number.
So the greatest common factor 516,3024 is 12.
Lets's calculate LCM of 947,947
| 947 | 947, 947 |
| 1, 1 |
∴ So the LCM of the given numbers is 947 x 1 x 1 = 947
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/947
Therefore, the GCF of Fractions 516/947,3024/947 is 12/947
Least Common Multiple of 947,947 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 947,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(947,947) = 947
common factors(in case of two or more numbers have common factors) = 1
GCF(947,947) x common factors =947 x 1 = 947
LCM(947,947) = ( 947 × 947 ) / 947
LCM(947,947) = 896809 / 947
LCM(947,947) = 947
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FAQs on GCF of Fractions of 516/947, 3024/947
1. What is the HCF of 516,3024?
The HCF of 516,3024 is 12
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 516/947, 3024/947?
Answer: GCF of Numerators as per given numbers 516/947, 3024/947 is
GCF of Numerators i.e. for 516,3024 is 12
LCM of denominators i.e. for 947,947 is 947.
Thus, GCF of Fractions is 12/947.Finally, GCF of Fractions for 516/947, 3024/947 is 12/947.