GCF of 25/12, 85/61, 810/221
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 25/12, 85/61, 810/221 i.e 5/161772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 25/12, 85/61, 810/221.
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 25/12,85/61,810/221?
Given fractions are 25/12,85/61,810/221
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 25/12,85/61,810/221, numerators are 25,85,810
Denominators are 12,61,221
The GCF of 25,85,810 is 5 .
LCM of 12,61,221 is 161772.
The greatest common factor of 25/12,85/61,810/221 = [GCF of 25,85,810]/[LCM of 12,61,221]= 5/161772
Therefore, the GCF of 25/12,85/61,810/221 is 5/161772.
To find the highest common factor of 25,85,810, we have to find the factors of both numbers and list the highest common factor.
The factors of 25 are 1, 5, 25
The factors of 85 are 1, 5, 17, 85
The factors of 810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
The HCF of 25,85,810 is 5.
Lets's calculate GCF of 25,85,810
| 5 | 25, 85, 810 |
| 5, 17, 162 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 25,85,810 By Matching Biggest Common Factor Method
Now, list down the factors of 25
:1,5,25
Now, list down the factors of 85
:1,5,17,85
Now, list down the factors of 810
:1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Greatest Common Factor
We found the factors 25,85,810 . The biggest common factor number is the GCF number.
So the greatest common factor 25,85,810 is 5.
Lets's calculate LCM of 12,61,221
Given numbers has no common factors except 1. So, there LCM is their product i.e 161772
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/161772
Therefore, the GCF of Fractions 25/12,85/61,810/221 is 5/161772
Least Common Multiple of 12,61,221 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 12,61,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,61,221) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(12,61,221) x common factors =1 x 1 = 1
LCM(12,61,221) = ( 12 × 61 × 221 ) / 1
LCM(12,61,221) = 161772 / 1
LCM(12,61,221) = 161772
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 25/12, 85/61, 810/221
1. What is the HCF of 25,85,810?
The HCF of 25,85,810 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 25/12, 85/61, 810/221?
Answer: GCF of Numerators as per given numbers 25/12, 85/61, 810/221 is
GCF of Numerators i.e. for 25,85,810 is 5
LCM of denominators i.e. for 12,61,221 is 161772.
Thus, GCF of Fractions is 5/161772.Finally, GCF of Fractions for 25/12, 85/61, 810/221 is 5/161772.