GCF of 2436/704, 9132/3012
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2436/704, 9132/3012 i.e 12/530112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2436/704, 9132/3012.
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 2436/704,9132/3012?
Given fractions are 2436/704,9132/3012
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 2436/704,9132/3012, numerators are 2436,9132
Denominators are 704,3012
The GCF of 2436,9132 is 12 .
LCM of 704,3012 is 530112.
The greatest common factor of 2436/704,9132/3012 = [GCF of 2436,9132]/[LCM of 704,3012]= 12/530112
Therefore, the GCF of 2436/704,9132/3012 is 12/530112.
To find the highest common factor of 2436,9132, we have to find the factors of both numbers and list the highest common factor.
The factors of 2436 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 42, 58, 84, 87, 116, 174, 203, 348, 406, 609, 812, 1218, 2436
The factors of 9132 are 1, 2, 3, 4, 6, 12, 761, 1522, 2283, 3044, 4566, 9132
The HCF of 2436,9132 is 12.
Lets's calculate GCF of 2436,9132
| 2 | 2436, 9132 |
| 2 | 1218, 4566 |
| 3 | 609, 2283 |
| 203, 761 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 2436,9132 By Matching Biggest Common Factor Method
Now, list down the factors of 2436
:1,2,3,4,6,7,12,14,21,28,29,42,58,84,87,116,174,203,348,406,609,812,1218,2436
Now, list down the factors of 9132
:1,2,3,4,6,12,761,1522,2283,3044,4566,9132
Greatest Common Factor
We found the factors 2436,9132 . The biggest common factor number is the GCF number.
So the greatest common factor 2436,9132 is 12.
Lets's calculate LCM of 704,3012
| 2 | 704, 3012 |
| 2 | 352, 1506 |
| 176, 753 |
∴ So the LCM of the given numbers is 2 x 2 x 176 x 753 = 530112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/530112
Therefore, the GCF of Fractions 2436/704,9132/3012 is 12/530112
Least Common Multiple of 704,3012 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 704,3012 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,3012) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(704,3012) x common factors =4 x 1 = 4
LCM(704,3012) = ( 704 × 3012 ) / 4
LCM(704,3012) = 2120448 / 4
LCM(704,3012) = 530112
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FAQs on GCF of Fractions of 2436/704, 9132/3012
1. What is the HCF of 2436,9132?
The HCF of 2436,9132 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 2436/704, 9132/3012?
Answer: GCF of Numerators as per given numbers 2436/704, 9132/3012 is
GCF of Numerators i.e. for 2436,9132 is 12
LCM of denominators i.e. for 704,3012 is 530112.
Thus, GCF of Fractions is 12/530112.Finally, GCF of Fractions for 2436/704, 9132/3012 is 12/530112.