Use our free GCF of Fractions Calculator tool to compute the GCF of 94/372, 274/739, 851/235 i.e 1/64603380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/372, 274/739, 851/235.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/372,274/739,851/235
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 94/372,274/739,851/235, numerators are 94,274,851
Denominators are 372,739,235
The GCF of 94,274,851 is 1 .
LCM of 372,739,235 is 64603380.
The greatest common factor of 94/372,274/739,851/235 = [GCF of 94,274,851]/[LCM of 372,739,235]= 1/64603380
Therefore, the GCF of 94/372,274/739,851/235 is 1/64603380.
To find the highest common factor of 94,274,851, 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 274 are 1, 2, 137, 274
The factors of 851 are 1, 23, 37, 851
The HCF of 94,274,851 is 1.
Lets's calculate GCF of 94,274,851
∴ 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 274
:1,2,137,274
Now, list down the factors of 851
:1,23,37,851
Greatest Common Factor
We found the factors 94,274,851 . The biggest common factor number is the GCF number.
So the greatest common factor 94,274,851 is 1.
Lets's calculate LCM of 372,739,235
Given numbers has no common factors except 1. So, there LCM is their product i.e 64603380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64603380
Therefore, the GCF of Fractions 94/372,274/739,851/235 is 1/64603380
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 372,739,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,739,235) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(372,739,235) x common factors =1 x 1 = 1
LCM(372,739,235) = ( 372 × 739 × 235 ) / 1
LCM(372,739,235) = 64603380 / 1
LCM(372,739,235) = 64603380
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 94,274,851?
The HCF of 94,274,851 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 94/372, 274/739, 851/235?
Answer: GCF of Numerators as per given numbers 94/372, 274/739, 851/235 is
GCF of Numerators i.e. for 94,274,851 is 1
LCM of denominators i.e. for 372,739,235 is 64603380.
Thus, GCF of Fractions is 1/64603380.Finally, GCF of Fractions for 94/372, 274/739, 851/235 is 1/64603380.