GCF of 3/61, 60/45, 48/263, 150/539
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3/61, 60/45, 48/263, 150/539 i.e 3/389122965 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3/61, 60/45, 48/263, 150/539.
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 3/61,60/45,48/263,150/539?
Given fractions are 3/61,60/45,48/263,150/539
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 3/61,60/45,48/263,150/539, numerators are 3,60,48,150
Denominators are 61,45,263,539
The GCF of 3,60,48,150 is 3 .
LCM of 61,45,263,539 is 389122965.
The greatest common factor of 3/61,60/45,48/263,150/539 = [GCF of 3,60,48,150]/[LCM of 61,45,263,539]= 3/389122965
Therefore, the GCF of 3/61,60/45,48/263,150/539 is 3/389122965.
To find the highest common factor of 3,60,48,150, we have to find the factors of both numbers and list the highest common factor.
The factors of 3 are 1, 3
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
The HCF of 3,60,48,150 is 3.
Lets's calculate GCF of 3,60,48,150
| 3 | 3, 60, 48, 150 |
| 1, 20, 16, 50 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3,60,48,150 By Matching Biggest Common Factor Method
Now, list down the factors of 3
:1,3
Now, list down the factors of 60
:1,2,3,4,5,6,10,12,15,20,30,60
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 150
:1,2,3,5,6,10,15,25,30,50,75,150
Greatest Common Factor
We found the factors 3,60,48,150 . The biggest common factor number is the GCF number.
So the greatest common factor 3,60,48,150 is 3.
Lets's calculate LCM of 61,45,263,539
Given numbers has no common factors except 1. So, there LCM is their product i.e 389122965
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/389122965
Therefore, the GCF of Fractions 3/61,60/45,48/263,150/539 is 3/389122965
Least Common Multiple of 61,45,263,539 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 61,45,263,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,45,263,539) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,45,263,539) x common factors =1 x 1 = 1
LCM(61,45,263,539) = ( 61 × 45 × 263 × 539 ) / 1
LCM(61,45,263,539) = 389122965 / 1
LCM(61,45,263,539) = 389122965
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3/61, 60/45, 48/263, 150/539
1. What is the HCF of 3,60,48,150?
The HCF of 3,60,48,150 is 3
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 3/61, 60/45, 48/263, 150/539?
Answer: GCF of Numerators as per given numbers 3/61, 60/45, 48/263, 150/539 is
GCF of Numerators i.e. for 3,60,48,150 is 3
LCM of denominators i.e. for 61,45,263,539 is 389122965.
Thus, GCF of Fractions is 3/389122965.Finally, GCF of Fractions for 3/61, 60/45, 48/263, 150/539 is 3/389122965.