Use our free GCF of Fractions Calculator tool to compute the GCF of 94/701, 12/163, 627/581 i.e 1/66386803 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/701, 12/163, 627/581.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/701,12/163,627/581
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 94/701,12/163,627/581, numerators are 94,12,627
Denominators are 701,163,581
The GCF of 94,12,627 is 1 .
LCM of 701,163,581 is 66386803.
The greatest common factor of 94/701,12/163,627/581 = [GCF of 94,12,627]/[LCM of 701,163,581]= 1/66386803
Therefore, the GCF of 94/701,12/163,627/581 is 1/66386803.
To find the highest common factor of 94,12,627, 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 12 are 1, 2, 3, 4, 6, 12
The factors of 627 are 1, 3, 11, 19, 33, 57, 209, 627
The HCF of 94,12,627 is 1.
Lets's calculate GCF of 94,12,627
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 94
:1,2,47,94
Now, list down the factors of 12
:1,2,3,4,6,12
Now, list down the factors of 627
:1,3,11,19,33,57,209,627
Greatest Common Factor
We found the factors 94,12,627 . The biggest common factor number is the GCF number.
So the greatest common factor 94,12,627 is 1.
Lets's calculate LCM of 701,163,581
Given numbers has no common factors except 1. So, there LCM is their product i.e 66386803
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66386803
Therefore, the GCF of Fractions 94/701,12/163,627/581 is 1/66386803
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 701,163,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(701,163,581) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(701,163,581) x common factors =1 x 1 = 1
LCM(701,163,581) = ( 701 × 163 × 581 ) / 1
LCM(701,163,581) = 66386803 / 1
LCM(701,163,581) = 66386803
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 94,12,627?
The HCF of 94,12,627 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 94/701, 12/163, 627/581?
Answer: GCF of Numerators as per given numbers 94/701, 12/163, 627/581 is
GCF of Numerators i.e. for 94,12,627 is 1
LCM of denominators i.e. for 701,163,581 is 66386803.
Thus, GCF of Fractions is 1/66386803.Finally, GCF of Fractions for 94/701, 12/163, 627/581 is 1/66386803.