GCF of 4725/417, 6500/6119
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4725/417, 6500/6119 i.e 25/2551623 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4725/417, 6500/6119.
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 4725/417,6500/6119?
Given fractions are 4725/417,6500/6119
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 4725/417,6500/6119, numerators are 4725,6500
Denominators are 417,6119
The GCF of 4725,6500 is 25 .
LCM of 417,6119 is 2551623.
The greatest common factor of 4725/417,6500/6119 = [GCF of 4725,6500]/[LCM of 417,6119]= 25/2551623
Therefore, the GCF of 4725/417,6500/6119 is 25/2551623.
To find the highest common factor of 4725,6500, we have to find the factors of both numbers and list the highest common factor.
The factors of 4725 are 1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 105, 135, 175, 189, 225, 315, 525, 675, 945, 1575, 4725
The factors of 6500 are 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 125, 130, 250, 260, 325, 500, 650, 1300, 1625, 3250, 6500
The HCF of 4725,6500 is 25.
Lets's calculate GCF of 4725,6500
| 5 | 4725, 6500 |
| 5 | 945, 1300 |
| 189, 260 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 4725,6500 By Matching Biggest Common Factor Method
Now, list down the factors of 4725
:1,3,5,7,9,15,21,25,27,35,45,63,75,105,135,175,189,225,315,525,675,945,1575,4725
Now, list down the factors of 6500
:1,2,4,5,10,13,20,25,26,50,52,65,100,125,130,250,260,325,500,650,1300,1625,3250,6500
Greatest Common Factor
We found the factors 4725,6500 . The biggest common factor number is the GCF number.
So the greatest common factor 4725,6500 is 25.
Lets's calculate LCM of 417,6119
Given numbers has no common factors except 1. So, there LCM is their product i.e 2551623
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/2551623
Therefore, the GCF of Fractions 4725/417,6500/6119 is 25/2551623
Least Common Multiple of 417,6119 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 417,6119 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,6119) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(417,6119) x common factors =1 x 1 = 1
LCM(417,6119) = ( 417 × 6119 ) / 1
LCM(417,6119) = 2551623 / 1
LCM(417,6119) = 2551623
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FAQs on GCF of Fractions of 4725/417, 6500/6119
1. What is the HCF of 4725,6500?
The HCF of 4725,6500 is 25
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 4725/417, 6500/6119?
Answer: GCF of Numerators as per given numbers 4725/417, 6500/6119 is
GCF of Numerators i.e. for 4725,6500 is 25
LCM of denominators i.e. for 417,6119 is 2551623.
Thus, GCF of Fractions is 25/2551623.Finally, GCF of Fractions for 4725/417, 6500/6119 is 25/2551623.