GCF of 9636/471, 3996/141
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9636/471, 3996/141 i.e 12/22137 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9636/471, 3996/141.
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 9636/471,3996/141?
Given fractions are 9636/471,3996/141
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 9636/471,3996/141, numerators are 9636,3996
Denominators are 471,141
The GCF of 9636,3996 is 12 .
LCM of 471,141 is 22137.
The greatest common factor of 9636/471,3996/141 = [GCF of 9636,3996]/[LCM of 471,141]= 12/22137
Therefore, the GCF of 9636/471,3996/141 is 12/22137.
To find the highest common factor of 9636,3996, we have to find the factors of both numbers and list the highest common factor.
The factors of 9636 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 73, 132, 146, 219, 292, 438, 803, 876, 1606, 2409, 3212, 4818, 9636
The factors of 3996 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 37, 54, 74, 108, 111, 148, 222, 333, 444, 666, 999, 1332, 1998, 3996
The HCF of 9636,3996 is 12.
Lets's calculate GCF of 9636,3996
| 2 | 9636, 3996 |
| 2 | 4818, 1998 |
| 3 | 2409, 999 |
| 803, 333 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 9636,3996 By Matching Biggest Common Factor Method
Now, list down the factors of 9636
:1,2,3,4,6,11,12,22,33,44,66,73,132,146,219,292,438,803,876,1606,2409,3212,4818,9636
Now, list down the factors of 3996
:1,2,3,4,6,9,12,18,27,36,37,54,74,108,111,148,222,333,444,666,999,1332,1998,3996
Greatest Common Factor
We found the factors 9636,3996 . The biggest common factor number is the GCF number.
So the greatest common factor 9636,3996 is 12.
Lets's calculate LCM of 471,141
| 3 | 471, 141 |
| 157, 47 |
∴ So the LCM of the given numbers is 3 x 157 x 47 = 22137
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/22137
Therefore, the GCF of Fractions 9636/471,3996/141 is 12/22137
Least Common Multiple of 471,141 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 471,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(471,141) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(471,141) x common factors =3 x 1 = 3
LCM(471,141) = ( 471 × 141 ) / 3
LCM(471,141) = 66411 / 3
LCM(471,141) = 22137
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FAQs on GCF of Fractions of 9636/471, 3996/141
1. What is the HCF of 9636,3996?
The HCF of 9636,3996 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 9636/471, 3996/141?
Answer: GCF of Numerators as per given numbers 9636/471, 3996/141 is
GCF of Numerators i.e. for 9636,3996 is 12
LCM of denominators i.e. for 471,141 is 22137.
Thus, GCF of Fractions is 12/22137.Finally, GCF of Fractions for 9636/471, 3996/141 is 12/22137.