GCF of 8475/417, 4724/2505
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8475/417, 4724/2505 i.e 1/348195 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8475/417, 4724/2505.
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 8475/417,4724/2505?
Given fractions are 8475/417,4724/2505
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 8475/417,4724/2505, numerators are 8475,4724
Denominators are 417,2505
The GCF of 8475,4724 is 1 .
LCM of 417,2505 is 348195.
The greatest common factor of 8475/417,4724/2505 = [GCF of 8475,4724]/[LCM of 417,2505]= 1/348195
Therefore, the GCF of 8475/417,4724/2505 is 1/348195.
To find the highest common factor of 8475,4724, we have to find the factors of both numbers and list the highest common factor.
The factors of 8475 are 1, 3, 5, 15, 25, 75, 113, 339, 565, 1695, 2825, 8475
The factors of 4724 are 1, 2, 4, 1181, 2362, 4724
The HCF of 8475,4724 is 1.
Lets's calculate GCF of 8475,4724
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8475,4724 By Matching Biggest Common Factor Method
Now, list down the factors of 8475
:1,3,5,15,25,75,113,339,565,1695,2825,8475
Now, list down the factors of 4724
:1,2,4,1181,2362,4724
Greatest Common Factor
We found the factors 8475,4724 . The biggest common factor number is the GCF number.
So the greatest common factor 8475,4724 is 1.
Lets's calculate LCM of 417,2505
| 3 | 417, 2505 |
| 139, 835 |
∴ So the LCM of the given numbers is 3 x 139 x 835 = 348195
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/348195
Therefore, the GCF of Fractions 8475/417,4724/2505 is 1/348195
Least Common Multiple of 417,2505 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 417,2505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,2505) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(417,2505) x common factors =3 x 1 = 3
LCM(417,2505) = ( 417 × 2505 ) / 3
LCM(417,2505) = 1044585 / 3
LCM(417,2505) = 348195
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FAQs on GCF of Fractions of 8475/417, 4724/2505
1. What is the HCF of 8475,4724?
The HCF of 8475,4724 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 8475/417, 4724/2505?
Answer: GCF of Numerators as per given numbers 8475/417, 4724/2505 is
GCF of Numerators i.e. for 8475,4724 is 1
LCM of denominators i.e. for 417,2505 is 348195.
Thus, GCF of Fractions is 1/348195.Finally, GCF of Fractions for 8475/417, 4724/2505 is 1/348195.