GCF of 924/529, 6156/3784
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 924/529, 6156/3784 i.e 12/2001736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 924/529, 6156/3784.
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 924/529,6156/3784?
Given fractions are 924/529,6156/3784
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 924/529,6156/3784, numerators are 924,6156
Denominators are 529,3784
The GCF of 924,6156 is 12 .
LCM of 529,3784 is 2001736.
The greatest common factor of 924/529,6156/3784 = [GCF of 924,6156]/[LCM of 529,3784]= 12/2001736
Therefore, the GCF of 924/529,6156/3784 is 12/2001736.
To find the highest common factor of 924,6156, we have to find the factors of both numbers and list the highest common factor.
The factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
The factors of 6156 are 1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 81, 108, 114, 162, 171, 228, 324, 342, 513, 684, 1026, 1539, 2052, 3078, 6156
The HCF of 924,6156 is 12.
Lets's calculate GCF of 924,6156
| 2 | 924, 6156 |
| 2 | 462, 3078 |
| 3 | 231, 1539 |
| 77, 513 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 924,6156 By Matching Biggest Common Factor Method
Now, list down the factors of 924
:1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924
Now, list down the factors of 6156
:1,2,3,4,6,9,12,18,19,27,36,38,54,57,76,81,108,114,162,171,228,324,342,513,684,1026,1539,2052,3078,6156
Greatest Common Factor
We found the factors 924,6156 . The biggest common factor number is the GCF number.
So the greatest common factor 924,6156 is 12.
Lets's calculate LCM of 529,3784
Given numbers has no common factors except 1. So, there LCM is their product i.e 2001736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/2001736
Therefore, the GCF of Fractions 924/529,6156/3784 is 12/2001736
Least Common Multiple of 529,3784 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 529,3784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,3784) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,3784) x common factors =1 x 1 = 1
LCM(529,3784) = ( 529 × 3784 ) / 1
LCM(529,3784) = 2001736 / 1
LCM(529,3784) = 2001736
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FAQs on GCF of Fractions of 924/529, 6156/3784
1. What is the HCF of 924,6156?
The HCF of 924,6156 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 924/529, 6156/3784?
Answer: GCF of Numerators as per given numbers 924/529, 6156/3784 is
GCF of Numerators i.e. for 924,6156 is 12
LCM of denominators i.e. for 529,3784 is 2001736.
Thus, GCF of Fractions is 12/2001736.Finally, GCF of Fractions for 924/529, 6156/3784 is 12/2001736.