GCF of 4588/562, 6230/7132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4588/562, 6230/7132 i.e 2/2004092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4588/562, 6230/7132.
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 4588/562,6230/7132?
Given fractions are 4588/562,6230/7132
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 4588/562,6230/7132, numerators are 4588,6230
Denominators are 562,7132
The GCF of 4588,6230 is 2 .
LCM of 562,7132 is 2004092.
The greatest common factor of 4588/562,6230/7132 = [GCF of 4588,6230]/[LCM of 562,7132]= 2/2004092
Therefore, the GCF of 4588/562,6230/7132 is 2/2004092.
To find the highest common factor of 4588,6230, we have to find the factors of both numbers and list the highest common factor.
The factors of 4588 are 1, 2, 4, 31, 37, 62, 74, 124, 148, 1147, 2294, 4588
The factors of 6230 are 1, 2, 5, 7, 10, 14, 35, 70, 89, 178, 445, 623, 890, 1246, 3115, 6230
The HCF of 4588,6230 is 2.
Lets's calculate GCF of 4588,6230
| 2 | 4588, 6230 |
| 2294, 3115 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4588,6230 By Matching Biggest Common Factor Method
Now, list down the factors of 4588
:1,2,4,31,37,62,74,124,148,1147,2294,4588
Now, list down the factors of 6230
:1,2,5,7,10,14,35,70,89,178,445,623,890,1246,3115,6230
Greatest Common Factor
We found the factors 4588,6230 . The biggest common factor number is the GCF number.
So the greatest common factor 4588,6230 is 2.
Lets's calculate LCM of 562,7132
| 2 | 562, 7132 |
| 281, 3566 |
∴ So the LCM of the given numbers is 2 x 281 x 3566 = 2004092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2004092
Therefore, the GCF of Fractions 4588/562,6230/7132 is 2/2004092
Least Common Multiple of 562,7132 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 562,7132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,7132) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(562,7132) x common factors =2 x 1 = 2
LCM(562,7132) = ( 562 × 7132 ) / 2
LCM(562,7132) = 4008184 / 2
LCM(562,7132) = 2004092
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FAQs on GCF of Fractions of 4588/562, 6230/7132
1. What is the HCF of 4588,6230?
The HCF of 4588,6230 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 4588/562, 6230/7132?
Answer: GCF of Numerators as per given numbers 4588/562, 6230/7132 is
GCF of Numerators i.e. for 4588,6230 is 2
LCM of denominators i.e. for 562,7132 is 2004092.
Thus, GCF of Fractions is 2/2004092.Finally, GCF of Fractions for 4588/562, 6230/7132 is 2/2004092.