GCF of 3996/947, 9672/2541
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3996/947, 9672/2541 i.e 12/2406327 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3996/947, 9672/2541.
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 3996/947,9672/2541?
Given fractions are 3996/947,9672/2541
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 3996/947,9672/2541, numerators are 3996,9672
Denominators are 947,2541
The GCF of 3996,9672 is 12 .
LCM of 947,2541 is 2406327.
The greatest common factor of 3996/947,9672/2541 = [GCF of 3996,9672]/[LCM of 947,2541]= 12/2406327
Therefore, the GCF of 3996/947,9672/2541 is 12/2406327.
To find the highest common factor of 3996,9672, 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 9672 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 31, 39, 52, 62, 78, 93, 104, 124, 156, 186, 248, 312, 372, 403, 744, 806, 1209, 1612, 2418, 3224, 4836, 9672
The HCF of 3996,9672 is 12.
Lets's calculate GCF of 3996,9672
| 2 | 3996, 9672 |
| 2 | 1998, 4836 |
| 3 | 999, 2418 |
| 333, 806 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 3996,9672 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 9672
:1,2,3,4,6,8,12,13,24,26,31,39,52,62,78,93,104,124,156,186,248,312,372,403,744,806,1209,1612,2418,3224,4836,9672
Greatest Common Factor
We found the factors 3996,9672 . The biggest common factor number is the GCF number.
So the greatest common factor 3996,9672 is 12.
Lets's calculate LCM of 947,2541
Given numbers has no common factors except 1. So, there LCM is their product i.e 2406327
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/2406327
Therefore, the GCF of Fractions 3996/947,9672/2541 is 12/2406327
Least Common Multiple of 947,2541 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 947,2541 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(947,2541) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(947,2541) x common factors =1 x 1 = 1
LCM(947,2541) = ( 947 × 2541 ) / 1
LCM(947,2541) = 2406327 / 1
LCM(947,2541) = 2406327
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 3996/947, 9672/2541
1. What is the HCF of 3996,9672?
The HCF of 3996,9672 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 3996/947, 9672/2541?
Answer: GCF of Numerators as per given numbers 3996/947, 9672/2541 is
GCF of Numerators i.e. for 3996,9672 is 12
LCM of denominators i.e. for 947,2541 is 2406327.
Thus, GCF of Fractions is 12/2406327.Finally, GCF of Fractions for 3996/947, 9672/2541 is 12/2406327.