GCF of 4434/573, 7370/2478
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4434/573, 7370/2478 i.e 2/473298 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4434/573, 7370/2478.
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 4434/573,7370/2478?
Given fractions are 4434/573,7370/2478
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 4434/573,7370/2478, numerators are 4434,7370
Denominators are 573,2478
The GCF of 4434,7370 is 2 .
LCM of 573,2478 is 473298.
The greatest common factor of 4434/573,7370/2478 = [GCF of 4434,7370]/[LCM of 573,2478]= 2/473298
Therefore, the GCF of 4434/573,7370/2478 is 2/473298.
To find the highest common factor of 4434,7370, we have to find the factors of both numbers and list the highest common factor.
The factors of 4434 are 1, 2, 3, 6, 739, 1478, 2217, 4434
The factors of 7370 are 1, 2, 5, 10, 11, 22, 55, 67, 110, 134, 335, 670, 737, 1474, 3685, 7370
The HCF of 4434,7370 is 2.
Lets's calculate GCF of 4434,7370
| 2 | 4434, 7370 |
| 2217, 3685 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4434,7370 By Matching Biggest Common Factor Method
Now, list down the factors of 4434
:1,2,3,6,739,1478,2217,4434
Now, list down the factors of 7370
:1,2,5,10,11,22,55,67,110,134,335,670,737,1474,3685,7370
Greatest Common Factor
We found the factors 4434,7370 . The biggest common factor number is the GCF number.
So the greatest common factor 4434,7370 is 2.
Lets's calculate LCM of 573,2478
| 3 | 573, 2478 |
| 191, 826 |
∴ So the LCM of the given numbers is 3 x 191 x 826 = 473298
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/473298
Therefore, the GCF of Fractions 4434/573,7370/2478 is 2/473298
Least Common Multiple of 573,2478 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 573,2478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(573,2478) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(573,2478) x common factors =3 x 1 = 3
LCM(573,2478) = ( 573 × 2478 ) / 3
LCM(573,2478) = 1419894 / 3
LCM(573,2478) = 473298
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FAQs on GCF of Fractions of 4434/573, 7370/2478
1. What is the HCF of 4434,7370?
The HCF of 4434,7370 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 4434/573, 7370/2478?
Answer: GCF of Numerators as per given numbers 4434/573, 7370/2478 is
GCF of Numerators i.e. for 4434,7370 is 2
LCM of denominators i.e. for 573,2478 is 473298.
Thus, GCF of Fractions is 2/473298.Finally, GCF of Fractions for 4434/573, 7370/2478 is 2/473298.