GCF of 3132/501, 9322/3984
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3132/501, 9322/3984 i.e 2/665328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3132/501, 9322/3984.
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 3132/501,9322/3984?
Given fractions are 3132/501,9322/3984
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 3132/501,9322/3984, numerators are 3132,9322
Denominators are 501,3984
The GCF of 3132,9322 is 2 .
LCM of 501,3984 is 665328.
The greatest common factor of 3132/501,9322/3984 = [GCF of 3132,9322]/[LCM of 501,3984]= 2/665328
Therefore, the GCF of 3132/501,9322/3984 is 2/665328.
To find the highest common factor of 3132,9322, we have to find the factors of both numbers and list the highest common factor.
The factors of 3132 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 87, 108, 116, 174, 261, 348, 522, 783, 1044, 1566, 3132
The factors of 9322 are 1, 2, 59, 79, 118, 158, 4661, 9322
The HCF of 3132,9322 is 2.
Lets's calculate GCF of 3132,9322
| 2 | 3132, 9322 |
| 1566, 4661 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3132,9322 By Matching Biggest Common Factor Method
Now, list down the factors of 3132
:1,2,3,4,6,9,12,18,27,29,36,54,58,87,108,116,174,261,348,522,783,1044,1566,3132
Now, list down the factors of 9322
:1,2,59,79,118,158,4661,9322
Greatest Common Factor
We found the factors 3132,9322 . The biggest common factor number is the GCF number.
So the greatest common factor 3132,9322 is 2.
Lets's calculate LCM of 501,3984
| 3 | 501, 3984 |
| 167, 1328 |
∴ So the LCM of the given numbers is 3 x 167 x 1328 = 665328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/665328
Therefore, the GCF of Fractions 3132/501,9322/3984 is 2/665328
Least Common Multiple of 501,3984 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 501,3984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(501,3984) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(501,3984) x common factors =3 x 1 = 3
LCM(501,3984) = ( 501 × 3984 ) / 3
LCM(501,3984) = 1995984 / 3
LCM(501,3984) = 665328
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FAQs on GCF of Fractions of 3132/501, 9322/3984
1. What is the HCF of 3132,9322?
The HCF of 3132,9322 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 3132/501, 9322/3984?
Answer: GCF of Numerators as per given numbers 3132/501, 9322/3984 is
GCF of Numerators i.e. for 3132,9322 is 2
LCM of denominators i.e. for 501,3984 is 665328.
Thus, GCF of Fractions is 2/665328.Finally, GCF of Fractions for 3132/501, 9322/3984 is 2/665328.