GCF of 34/15, 227/40, 225/336
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/15, 227/40, 225/336 i.e 1/1680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/15, 227/40, 225/336.
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 34/15,227/40,225/336?
Given fractions are 34/15,227/40,225/336
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 34/15,227/40,225/336, numerators are 34,227,225
Denominators are 15,40,336
The GCF of 34,227,225 is 1 .
LCM of 15,40,336 is 1680.
The greatest common factor of 34/15,227/40,225/336 = [GCF of 34,227,225]/[LCM of 15,40,336]= 1/1680
Therefore, the GCF of 34/15,227/40,225/336 is 1/1680.
To find the highest common factor of 34,227,225, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 227 are 1, 227
The factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225
The HCF of 34,227,225 is 1.
Lets's calculate GCF of 34,227,225
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 34,227,225 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 227
:1,227
Now, list down the factors of 225
:1,3,5,9,15,25,45,75,225
Greatest Common Factor
We found the factors 34,227,225 . The biggest common factor number is the GCF number.
So the greatest common factor 34,227,225 is 1.
Lets's calculate LCM of 15,40,336
| 2 | 15, 40, 336 |
| 2 | 15, 20, 168 |
| 2 | 15, 10, 84 |
| 3 | 15, 5, 42 |
| 5 | 5, 5, 14 |
| 1, 1, 14 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 1 x 1 x 14 = 1680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1680
Therefore, the GCF of Fractions 34/15,227/40,225/336 is 1/1680
Least Common Multiple of 15,40,336 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 15,40,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,40,336) = 1
common factors(in case of two or more numbers have common factors) = 120
GCF(15,40,336) x common factors =1 x 120 = 120
LCM(15,40,336) = ( 15 × 40 × 336 ) / 120
LCM(15,40,336) = 201600 / 120
LCM(15,40,336) = 1680
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FAQs on GCF of Fractions of 34/15, 227/40, 225/336
1. What is the HCF of 34,227,225?
The HCF of 34,227,225 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 34/15, 227/40, 225/336?
Answer: GCF of Numerators as per given numbers 34/15, 227/40, 225/336 is
GCF of Numerators i.e. for 34,227,225 is 1
LCM of denominators i.e. for 15,40,336 is 1680.
Thus, GCF of Fractions is 1/1680.Finally, GCF of Fractions for 34/15, 227/40, 225/336 is 1/1680.