GCF of 4835/345, 8182/594
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4835/345, 8182/594 i.e 1/68310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4835/345, 8182/594.
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 4835/345,8182/594?
Given fractions are 4835/345,8182/594
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 4835/345,8182/594, numerators are 4835,8182
Denominators are 345,594
The GCF of 4835,8182 is 1 .
LCM of 345,594 is 68310.
The greatest common factor of 4835/345,8182/594 = [GCF of 4835,8182]/[LCM of 345,594]= 1/68310
Therefore, the GCF of 4835/345,8182/594 is 1/68310.
To find the highest common factor of 4835,8182, we have to find the factors of both numbers and list the highest common factor.
The factors of 4835 are 1, 5, 967, 4835
The factors of 8182 are 1, 2, 4091, 8182
The HCF of 4835,8182 is 1.
Lets's calculate GCF of 4835,8182
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4835,8182 By Matching Biggest Common Factor Method
Now, list down the factors of 4835
:1,5,967,4835
Now, list down the factors of 8182
:1,2,4091,8182
Greatest Common Factor
We found the factors 4835,8182 . The biggest common factor number is the GCF number.
So the greatest common factor 4835,8182 is 1.
Lets's calculate LCM of 345,594
| 3 | 345, 594 |
| 115, 198 |
∴ So the LCM of the given numbers is 3 x 115 x 198 = 68310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68310
Therefore, the GCF of Fractions 4835/345,8182/594 is 1/68310
Least Common Multiple of 345,594 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 345,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,594) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(345,594) x common factors =3 x 1 = 3
LCM(345,594) = ( 345 × 594 ) / 3
LCM(345,594) = 204930 / 3
LCM(345,594) = 68310
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FAQs on GCF of Fractions of 4835/345, 8182/594
1. What is the HCF of 4835,8182?
The HCF of 4835,8182 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 4835/345, 8182/594?
Answer: GCF of Numerators as per given numbers 4835/345, 8182/594 is
GCF of Numerators i.e. for 4835,8182 is 1
LCM of denominators i.e. for 345,594 is 68310.
Thus, GCF of Fractions is 1/68310.Finally, GCF of Fractions for 4835/345, 8182/594 is 1/68310.