GCF of 3992/432, 3671/9852
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3992/432, 3671/9852 i.e 1/354672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3992/432, 3671/9852.
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 3992/432,3671/9852?
Given fractions are 3992/432,3671/9852
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 3992/432,3671/9852, numerators are 3992,3671
Denominators are 432,9852
The GCF of 3992,3671 is 1 .
LCM of 432,9852 is 354672.
The greatest common factor of 3992/432,3671/9852 = [GCF of 3992,3671]/[LCM of 432,9852]= 1/354672
Therefore, the GCF of 3992/432,3671/9852 is 1/354672.
To find the highest common factor of 3992,3671, we have to find the factors of both numbers and list the highest common factor.
The factors of 3992 are 1, 2, 4, 8, 499, 998, 1996, 3992
The factors of 3671 are 1, 3671
The HCF of 3992,3671 is 1.
Lets's calculate GCF of 3992,3671
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3992,3671 By Matching Biggest Common Factor Method
Now, list down the factors of 3992
:1,2,4,8,499,998,1996,3992
Now, list down the factors of 3671
:1,3671
Greatest Common Factor
We found the factors 3992,3671 . The biggest common factor number is the GCF number.
So the greatest common factor 3992,3671 is 1.
Lets's calculate LCM of 432,9852
| 2 | 432, 9852 |
| 2 | 216, 4926 |
| 3 | 108, 2463 |
| 36, 821 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 36 x 821 = 354672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/354672
Therefore, the GCF of Fractions 3992/432,3671/9852 is 1/354672
Least Common Multiple of 432,9852 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 432,9852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(432,9852) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(432,9852) x common factors =12 x 1 = 12
LCM(432,9852) = ( 432 × 9852 ) / 12
LCM(432,9852) = 4256064 / 12
LCM(432,9852) = 354672
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FAQs on GCF of Fractions of 3992/432, 3671/9852
1. What is the HCF of 3992,3671?
The HCF of 3992,3671 is 1
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 3992/432, 3671/9852?
Answer: GCF of Numerators as per given numbers 3992/432, 3671/9852 is
GCF of Numerators i.e. for 3992,3671 is 1
LCM of denominators i.e. for 432,9852 is 354672.
Thus, GCF of Fractions is 1/354672.Finally, GCF of Fractions for 3992/432, 3671/9852 is 1/354672.