GCF of 3996/912, 9662/3423
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3996/912, 9662/3423 i.e 2/1040592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3996/912, 9662/3423.
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 3996/912,9662/3423?
Given fractions are 3996/912,9662/3423
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 3996/912,9662/3423, numerators are 3996,9662
Denominators are 912,3423
The GCF of 3996,9662 is 2 .
LCM of 912,3423 is 1040592.
The greatest common factor of 3996/912,9662/3423 = [GCF of 3996,9662]/[LCM of 912,3423]= 2/1040592
Therefore, the GCF of 3996/912,9662/3423 is 2/1040592.
To find the highest common factor of 3996,9662, we have to find the factors of both numbers and list the highest common factor.
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 factors of 9662 are 1, 2, 4831, 9662
The HCF of 3996,9662 is 2.
Lets's calculate GCF of 3996,9662
| 2 | 3996, 9662 |
| 1998, 4831 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3996,9662 By Matching Biggest Common Factor Method
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
Now, list down the factors of 9662
:1,2,4831,9662
Greatest Common Factor
We found the factors 3996,9662 . The biggest common factor number is the GCF number.
So the greatest common factor 3996,9662 is 2.
Lets's calculate LCM of 912,3423
| 3 | 912, 3423 |
| 304, 1141 |
∴ So the LCM of the given numbers is 3 x 304 x 1141 = 1040592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1040592
Therefore, the GCF of Fractions 3996/912,9662/3423 is 2/1040592
Least Common Multiple of 912,3423 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 912,3423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,3423) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(912,3423) x common factors =3 x 1 = 3
LCM(912,3423) = ( 912 × 3423 ) / 3
LCM(912,3423) = 3121776 / 3
LCM(912,3423) = 1040592
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FAQs on GCF of Fractions of 3996/912, 9662/3423
1. What is the HCF of 3996,9662?
The HCF of 3996,9662 is 2
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 3996/912, 9662/3423?
Answer: GCF of Numerators as per given numbers 3996/912, 9662/3423 is
GCF of Numerators i.e. for 3996,9662 is 2
LCM of denominators i.e. for 912,3423 is 1040592.
Thus, GCF of Fractions is 2/1040592.Finally, GCF of Fractions for 3996/912, 9662/3423 is 2/1040592.