GCF of 227/784, 134/778
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 227/784, 134/778 i.e 1/304976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 227/784, 134/778.
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 227/784,134/778?
Given fractions are 227/784,134/778
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 227/784,134/778, numerators are 227,134
Denominators are 784,778
The GCF of 227,134 is 1 .
LCM of 784,778 is 304976.
The greatest common factor of 227/784,134/778 = [GCF of 227,134]/[LCM of 784,778]= 1/304976
Therefore, the GCF of 227/784,134/778 is 1/304976.
To find the highest common factor of 227,134, we have to find the factors of both numbers and list the highest common factor.
The factors of 227 are 1, 227
The factors of 134 are 1, 2, 67, 134
The HCF of 227,134 is 1.
Lets's calculate GCF of 227,134
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 227,134 By Matching Biggest Common Factor Method
Now, list down the factors of 227
:1,227
Now, list down the factors of 134
:1,2,67,134
Greatest Common Factor
We found the factors 227,134 . The biggest common factor number is the GCF number.
So the greatest common factor 227,134 is 1.
Lets's calculate LCM of 784,778
| 2 | 784, 778 |
| 392, 389 |
∴ So the LCM of the given numbers is 2 x 392 x 389 = 304976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/304976
Therefore, the GCF of Fractions 227/784,134/778 is 1/304976
Least Common Multiple of 784,778 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 784,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,778) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(784,778) x common factors =2 x 1 = 2
LCM(784,778) = ( 784 × 778 ) / 2
LCM(784,778) = 609952 / 2
LCM(784,778) = 304976
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 227/784, 134/778
1. What is the HCF of 227,134?
The HCF of 227,134 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 227/784, 134/778?
Answer: GCF of Numerators as per given numbers 227/784, 134/778 is
GCF of Numerators i.e. for 227,134 is 1
LCM of denominators i.e. for 784,778 is 304976.
Thus, GCF of Fractions is 1/304976.Finally, GCF of Fractions for 227/784, 134/778 is 1/304976.