Use our free GCF of Fractions Calculator tool to compute the GCF of 94/223, 106/505, 274/307 i.e 2/34572805 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/223, 106/505, 274/307.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/223,106/505,274/307
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 94/223,106/505,274/307, numerators are 94,106,274
Denominators are 223,505,307
The GCF of 94,106,274 is 2 .
LCM of 223,505,307 is 34572805.
The greatest common factor of 94/223,106/505,274/307 = [GCF of 94,106,274]/[LCM of 223,505,307]= 2/34572805
Therefore, the GCF of 94/223,106/505,274/307 is 2/34572805.
To find the highest common factor of 94,106,274, we have to find the factors of both numbers and list the highest common factor.
The factors of 94 are 1, 2, 47, 94
The factors of 106 are 1, 2, 53, 106
The factors of 274 are 1, 2, 137, 274
The HCF of 94,106,274 is 2.
Lets's calculate GCF of 94,106,274
2 | 94, 106, 274 |
47, 53, 137 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 94
:1,2,47,94
Now, list down the factors of 106
:1,2,53,106
Now, list down the factors of 274
:1,2,137,274
Greatest Common Factor
We found the factors 94,106,274 . The biggest common factor number is the GCF number.
So the greatest common factor 94,106,274 is 2.
Lets's calculate LCM of 223,505,307
Given numbers has no common factors except 1. So, there LCM is their product i.e 34572805
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34572805
Therefore, the GCF of Fractions 94/223,106/505,274/307 is 2/34572805
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 223,505,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(223,505,307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(223,505,307) x common factors =1 x 1 = 1
LCM(223,505,307) = ( 223 × 505 × 307 ) / 1
LCM(223,505,307) = 34572805 / 1
LCM(223,505,307) = 34572805
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 94,106,274?
The HCF of 94,106,274 is 2
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 94/223, 106/505, 274/307?
Answer: GCF of Numerators as per given numbers 94/223, 106/505, 274/307 is
GCF of Numerators i.e. for 94,106,274 is 2
LCM of denominators i.e. for 223,505,307 is 34572805.
Thus, GCF of Fractions is 2/34572805.Finally, GCF of Fractions for 94/223, 106/505, 274/307 is 2/34572805.