GCF of 4575/846, 5235/2210
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4575/846, 5235/2210 i.e 15/934830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4575/846, 5235/2210.
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 4575/846,5235/2210?
Given fractions are 4575/846,5235/2210
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 4575/846,5235/2210, numerators are 4575,5235
Denominators are 846,2210
The GCF of 4575,5235 is 15 .
LCM of 846,2210 is 934830.
The greatest common factor of 4575/846,5235/2210 = [GCF of 4575,5235]/[LCM of 846,2210]= 15/934830
Therefore, the GCF of 4575/846,5235/2210 is 15/934830.
To find the highest common factor of 4575,5235, we have to find the factors of both numbers and list the highest common factor.
The factors of 4575 are 1, 3, 5, 15, 25, 61, 75, 183, 305, 915, 1525, 4575
The factors of 5235 are 1, 3, 5, 15, 349, 1047, 1745, 5235
The HCF of 4575,5235 is 15.
Lets's calculate GCF of 4575,5235
| 3 | 4575, 5235 |
| 5 | 1525, 1745 |
| 305, 349 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 4575,5235 By Matching Biggest Common Factor Method
Now, list down the factors of 4575
:1,3,5,15,25,61,75,183,305,915,1525,4575
Now, list down the factors of 5235
:1,3,5,15,349,1047,1745,5235
Greatest Common Factor
We found the factors 4575,5235 . The biggest common factor number is the GCF number.
So the greatest common factor 4575,5235 is 15.
Lets's calculate LCM of 846,2210
| 2 | 846, 2210 |
| 423, 1105 |
∴ So the LCM of the given numbers is 2 x 423 x 1105 = 934830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/934830
Therefore, the GCF of Fractions 4575/846,5235/2210 is 15/934830
Least Common Multiple of 846,2210 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 846,2210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(846,2210) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(846,2210) x common factors =2 x 1 = 2
LCM(846,2210) = ( 846 × 2210 ) / 2
LCM(846,2210) = 1869660 / 2
LCM(846,2210) = 934830
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FAQs on GCF of Fractions of 4575/846, 5235/2210
1. What is the HCF of 4575,5235?
The HCF of 4575,5235 is 15
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 4575/846, 5235/2210?
Answer: GCF of Numerators as per given numbers 4575/846, 5235/2210 is
GCF of Numerators i.e. for 4575,5235 is 15
LCM of denominators i.e. for 846,2210 is 934830.
Thus, GCF of Fractions is 15/934830.Finally, GCF of Fractions for 4575/846, 5235/2210 is 15/934830.