GCF of 3852/168, 3990/323
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3852/168, 3990/323 i.e 6/54264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3852/168, 3990/323.
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 3852/168,3990/323?
Given fractions are 3852/168,3990/323
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 3852/168,3990/323, numerators are 3852,3990
Denominators are 168,323
The GCF of 3852,3990 is 6 .
LCM of 168,323 is 54264.
The greatest common factor of 3852/168,3990/323 = [GCF of 3852,3990]/[LCM of 168,323]= 6/54264
Therefore, the GCF of 3852/168,3990/323 is 6/54264.
To find the highest common factor of 3852,3990, we have to find the factors of both numbers and list the highest common factor.
The factors of 3852 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 107, 214, 321, 428, 642, 963, 1284, 1926, 3852
The factors of 3990 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 19, 21, 30, 35, 38, 42, 57, 70, 95, 105, 114, 133, 190, 210, 266, 285, 399, 570, 665, 798, 1330, 1995, 3990
The HCF of 3852,3990 is 6.
Lets's calculate GCF of 3852,3990
| 2 | 3852, 3990 |
| 3 | 1926, 1995 |
| 642, 665 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 3852,3990 By Matching Biggest Common Factor Method
Now, list down the factors of 3852
:1,2,3,4,6,9,12,18,36,107,214,321,428,642,963,1284,1926,3852
Now, list down the factors of 3990
:1,2,3,5,6,7,10,14,15,19,21,30,35,38,42,57,70,95,105,114,133,190,210,266,285,399,570,665,798,1330,1995,3990
Greatest Common Factor
We found the factors 3852,3990 . The biggest common factor number is the GCF number.
So the greatest common factor 3852,3990 is 6.
Lets's calculate LCM of 168,323
Given numbers has no common factors except 1. So, there LCM is their product i.e 54264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/54264
Therefore, the GCF of Fractions 3852/168,3990/323 is 6/54264
Least Common Multiple of 168,323 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 168,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,323) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(168,323) x common factors =1 x 1 = 1
LCM(168,323) = ( 168 × 323 ) / 1
LCM(168,323) = 54264 / 1
LCM(168,323) = 54264
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FAQs on GCF of Fractions of 3852/168, 3990/323
1. What is the HCF of 3852,3990?
The HCF of 3852,3990 is 6
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 3852/168, 3990/323?
Answer: GCF of Numerators as per given numbers 3852/168, 3990/323 is
GCF of Numerators i.e. for 3852,3990 is 6
LCM of denominators i.e. for 168,323 is 54264.
Thus, GCF of Fractions is 6/54264.Finally, GCF of Fractions for 3852/168, 3990/323 is 6/54264.