GCF of 5809/890, 4220/9345
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5809/890, 4220/9345 i.e 1/18690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5809/890, 4220/9345.
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 5809/890,4220/9345?
Given fractions are 5809/890,4220/9345
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 5809/890,4220/9345, numerators are 5809,4220
Denominators are 890,9345
The GCF of 5809,4220 is 1 .
LCM of 890,9345 is 18690.
The greatest common factor of 5809/890,4220/9345 = [GCF of 5809,4220]/[LCM of 890,9345]= 1/18690
Therefore, the GCF of 5809/890,4220/9345 is 1/18690.
To find the highest common factor of 5809,4220, we have to find the factors of both numbers and list the highest common factor.
The factors of 5809 are 1, 37, 157, 5809
The factors of 4220 are 1, 2, 4, 5, 10, 20, 211, 422, 844, 1055, 2110, 4220
The HCF of 5809,4220 is 1.
Lets's calculate GCF of 5809,4220
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5809,4220 By Matching Biggest Common Factor Method
Now, list down the factors of 5809
:1,37,157,5809
Now, list down the factors of 4220
:1,2,4,5,10,20,211,422,844,1055,2110,4220
Greatest Common Factor
We found the factors 5809,4220 . The biggest common factor number is the GCF number.
So the greatest common factor 5809,4220 is 1.
Lets's calculate LCM of 890,9345
| 5 | 890, 9345 |
| 89 | 178, 1869 |
| 2, 21 |
∴ So the LCM of the given numbers is 5 x 89 x 2 x 21 = 18690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18690
Therefore, the GCF of Fractions 5809/890,4220/9345 is 1/18690
Least Common Multiple of 890,9345 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 890,9345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(890,9345) = 445
common factors(in case of two or more numbers have common factors) = 1
GCF(890,9345) x common factors =445 x 1 = 445
LCM(890,9345) = ( 890 × 9345 ) / 445
LCM(890,9345) = 8317050 / 445
LCM(890,9345) = 18690
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FAQs on GCF of Fractions of 5809/890, 4220/9345
1. What is the HCF of 5809,4220?
The HCF of 5809,4220 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 5809/890, 4220/9345?
Answer: GCF of Numerators as per given numbers 5809/890, 4220/9345 is
GCF of Numerators i.e. for 5809,4220 is 1
LCM of denominators i.e. for 890,9345 is 18690.
Thus, GCF of Fractions is 1/18690.Finally, GCF of Fractions for 5809/890, 4220/9345 is 1/18690.