GCF of 2436/595, 4459/3570
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2436/595, 4459/3570 i.e 7/3570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2436/595, 4459/3570.
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 2436/595,4459/3570?
Given fractions are 2436/595,4459/3570
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 2436/595,4459/3570, numerators are 2436,4459
Denominators are 595,3570
The GCF of 2436,4459 is 7 .
LCM of 595,3570 is 3570.
The greatest common factor of 2436/595,4459/3570 = [GCF of 2436,4459]/[LCM of 595,3570]= 7/3570
Therefore, the GCF of 2436/595,4459/3570 is 7/3570.
To find the highest common factor of 2436,4459, 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 4459 are 1, 7, 13, 49, 91, 343, 637, 4459
The HCF of 2436,4459 is 7.
Lets's calculate GCF of 2436,4459
| 7 | 2436, 4459 |
| 348, 637 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 2436,4459 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 4459
:1,7,13,49,91,343,637,4459
Greatest Common Factor
We found the factors 2436,4459 . The biggest common factor number is the GCF number.
So the greatest common factor 2436,4459 is 7.
Lets's calculate LCM of 595,3570
| 5 | 595, 3570 |
| 7 | 119, 714 |
| 17 | 17, 102 |
| 1, 6 |
∴ So the LCM of the given numbers is 5 x 7 x 17 x 1 x 6 = 3570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/3570
Therefore, the GCF of Fractions 2436/595,4459/3570 is 7/3570
Least Common Multiple of 595,3570 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 595,3570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(595,3570) = 595
common factors(in case of two or more numbers have common factors) = 1
GCF(595,3570) x common factors =595 x 1 = 595
LCM(595,3570) = ( 595 × 3570 ) / 595
LCM(595,3570) = 2124150 / 595
LCM(595,3570) = 3570
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FAQs on GCF of Fractions of 2436/595, 4459/3570
1. What is the HCF of 2436,4459?
The HCF of 2436,4459 is 7
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 2436/595, 4459/3570?
Answer: GCF of Numerators as per given numbers 2436/595, 4459/3570 is
GCF of Numerators i.e. for 2436,4459 is 7
LCM of denominators i.e. for 595,3570 is 3570.
Thus, GCF of Fractions is 7/3570.Finally, GCF of Fractions for 2436/595, 4459/3570 is 7/3570.