GCF of 4591/510, 4600/705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4591/510, 4600/705 i.e 1/23970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4591/510, 4600/705.
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 4591/510,4600/705?
Given fractions are 4591/510,4600/705
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 4591/510,4600/705, numerators are 4591,4600
Denominators are 510,705
The GCF of 4591,4600 is 1 .
LCM of 510,705 is 23970.
The greatest common factor of 4591/510,4600/705 = [GCF of 4591,4600]/[LCM of 510,705]= 1/23970
Therefore, the GCF of 4591/510,4600/705 is 1/23970.
To find the highest common factor of 4591,4600, we have to find the factors of both numbers and list the highest common factor.
The factors of 4591 are 1, 4591
The factors of 4600 are 1, 2, 4, 5, 8, 10, 20, 23, 25, 40, 46, 50, 92, 100, 115, 184, 200, 230, 460, 575, 920, 1150, 2300, 4600
The HCF of 4591,4600 is 1.
Lets's calculate GCF of 4591,4600
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4591,4600 By Matching Biggest Common Factor Method
Now, list down the factors of 4591
:1,4591
Now, list down the factors of 4600
:1,2,4,5,8,10,20,23,25,40,46,50,92,100,115,184,200,230,460,575,920,1150,2300,4600
Greatest Common Factor
We found the factors 4591,4600 . The biggest common factor number is the GCF number.
So the greatest common factor 4591,4600 is 1.
Lets's calculate LCM of 510,705
| 3 | 510, 705 |
| 5 | 170, 235 |
| 34, 47 |
∴ So the LCM of the given numbers is 3 x 5 x 34 x 47 = 23970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23970
Therefore, the GCF of Fractions 4591/510,4600/705 is 1/23970
Least Common Multiple of 510,705 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 510,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,705) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(510,705) x common factors =15 x 1 = 15
LCM(510,705) = ( 510 × 705 ) / 15
LCM(510,705) = 359550 / 15
LCM(510,705) = 23970
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FAQs on GCF of Fractions of 4591/510, 4600/705
1. What is the HCF of 4591,4600?
The HCF of 4591,4600 is 1
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 4591/510, 4600/705?
Answer: GCF of Numerators as per given numbers 4591/510, 4600/705 is
GCF of Numerators i.e. for 4591,4600 is 1
LCM of denominators i.e. for 510,705 is 23970.
Thus, GCF of Fractions is 1/23970.Finally, GCF of Fractions for 4591/510, 4600/705 is 1/23970.