GCF of 217/725, 8210/272
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 217/725, 8210/272 i.e 1/197200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 217/725, 8210/272.
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 217/725,8210/272?
Given fractions are 217/725,8210/272
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 217/725,8210/272, numerators are 217,8210
Denominators are 725,272
The GCF of 217,8210 is 1 .
LCM of 725,272 is 197200.
The greatest common factor of 217/725,8210/272 = [GCF of 217,8210]/[LCM of 725,272]= 1/197200
Therefore, the GCF of 217/725,8210/272 is 1/197200.
To find the highest common factor of 217,8210, we have to find the factors of both numbers and list the highest common factor.
The factors of 217 are 1, 7, 31, 217
The factors of 8210 are 1, 2, 5, 10, 821, 1642, 4105, 8210
The HCF of 217,8210 is 1.
Lets's calculate GCF of 217,8210
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 217,8210 By Matching Biggest Common Factor Method
Now, list down the factors of 217
:1,7,31,217
Now, list down the factors of 8210
:1,2,5,10,821,1642,4105,8210
Greatest Common Factor
We found the factors 217,8210 . The biggest common factor number is the GCF number.
So the greatest common factor 217,8210 is 1.
Lets's calculate LCM of 725,272
Given numbers has no common factors except 1. So, there LCM is their product i.e 197200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/197200
Therefore, the GCF of Fractions 217/725,8210/272 is 1/197200
Least Common Multiple of 725,272 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 725,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,272) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(725,272) x common factors =1 x 1 = 1
LCM(725,272) = ( 725 × 272 ) / 1
LCM(725,272) = 197200 / 1
LCM(725,272) = 197200
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 217/725, 8210/272
1. What is the HCF of 217,8210?
The HCF of 217,8210 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 217/725, 8210/272?
Answer: GCF of Numerators as per given numbers 217/725, 8210/272 is
GCF of Numerators i.e. for 217,8210 is 1
LCM of denominators i.e. for 725,272 is 197200.
Thus, GCF of Fractions is 1/197200.Finally, GCF of Fractions for 217/725, 8210/272 is 1/197200.