GCF of 1985/307, 5430/1965
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1985/307, 5430/1965 i.e 5/603255 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1985/307, 5430/1965.
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 1985/307,5430/1965?
Given fractions are 1985/307,5430/1965
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 1985/307,5430/1965, numerators are 1985,5430
Denominators are 307,1965
The GCF of 1985,5430 is 5 .
LCM of 307,1965 is 603255.
The greatest common factor of 1985/307,5430/1965 = [GCF of 1985,5430]/[LCM of 307,1965]= 5/603255
Therefore, the GCF of 1985/307,5430/1965 is 5/603255.
To find the highest common factor of 1985,5430, we have to find the factors of both numbers and list the highest common factor.
The factors of 1985 are 1, 5, 397, 1985
The factors of 5430 are 1, 2, 3, 5, 6, 10, 15, 30, 181, 362, 543, 905, 1086, 1810, 2715, 5430
The HCF of 1985,5430 is 5.
Lets's calculate GCF of 1985,5430
| 5 | 1985, 5430 |
| 397, 1086 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1985,5430 By Matching Biggest Common Factor Method
Now, list down the factors of 1985
:1,5,397,1985
Now, list down the factors of 5430
:1,2,3,5,6,10,15,30,181,362,543,905,1086,1810,2715,5430
Greatest Common Factor
We found the factors 1985,5430 . The biggest common factor number is the GCF number.
So the greatest common factor 1985,5430 is 5.
Lets's calculate LCM of 307,1965
Given numbers has no common factors except 1. So, there LCM is their product i.e 603255
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/603255
Therefore, the GCF of Fractions 1985/307,5430/1965 is 5/603255
Least Common Multiple of 307,1965 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 307,1965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,1965) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,1965) x common factors =1 x 1 = 1
LCM(307,1965) = ( 307 × 1965 ) / 1
LCM(307,1965) = 603255 / 1
LCM(307,1965) = 603255
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FAQs on GCF of Fractions of 1985/307, 5430/1965
1. What is the HCF of 1985,5430?
The HCF of 1985,5430 is 5
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 1985/307, 5430/1965?
Answer: GCF of Numerators as per given numbers 1985/307, 5430/1965 is
GCF of Numerators i.e. for 1985,5430 is 5
LCM of denominators i.e. for 307,1965 is 603255.
Thus, GCF of Fractions is 5/603255.Finally, GCF of Fractions for 1985/307, 5430/1965 is 5/603255.