GCF of 2378/442, 5835/170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2378/442, 5835/170 i.e 1/2210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2378/442, 5835/170.
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 2378/442,5835/170?
Given fractions are 2378/442,5835/170
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 2378/442,5835/170, numerators are 2378,5835
Denominators are 442,170
The GCF of 2378,5835 is 1 .
LCM of 442,170 is 2210.
The greatest common factor of 2378/442,5835/170 = [GCF of 2378,5835]/[LCM of 442,170]= 1/2210
Therefore, the GCF of 2378/442,5835/170 is 1/2210.
To find the highest common factor of 2378,5835, we have to find the factors of both numbers and list the highest common factor.
The factors of 2378 are 1, 2, 29, 41, 58, 82, 1189, 2378
The factors of 5835 are 1, 3, 5, 15, 389, 1167, 1945, 5835
The HCF of 2378,5835 is 1.
Lets's calculate GCF of 2378,5835
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2378,5835 By Matching Biggest Common Factor Method
Now, list down the factors of 2378
:1,2,29,41,58,82,1189,2378
Now, list down the factors of 5835
:1,3,5,15,389,1167,1945,5835
Greatest Common Factor
We found the factors 2378,5835 . The biggest common factor number is the GCF number.
So the greatest common factor 2378,5835 is 1.
Lets's calculate LCM of 442,170
| 2 | 442, 170 |
| 17 | 221, 85 |
| 13, 5 |
∴ So the LCM of the given numbers is 2 x 17 x 13 x 5 = 2210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2210
Therefore, the GCF of Fractions 2378/442,5835/170 is 1/2210
Least Common Multiple of 442,170 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 442,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(442,170) = 34
common factors(in case of two or more numbers have common factors) = 1
GCF(442,170) x common factors =34 x 1 = 34
LCM(442,170) = ( 442 × 170 ) / 34
LCM(442,170) = 75140 / 34
LCM(442,170) = 2210
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FAQs on GCF of Fractions of 2378/442, 5835/170
1. What is the HCF of 2378,5835?
The HCF of 2378,5835 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 2378/442, 5835/170?
Answer: GCF of Numerators as per given numbers 2378/442, 5835/170 is
GCF of Numerators i.e. for 2378,5835 is 1
LCM of denominators i.e. for 442,170 is 2210.
Thus, GCF of Fractions is 1/2210.Finally, GCF of Fractions for 2378/442, 5835/170 is 1/2210.