Use our free GCF of Fractions Calculator tool to compute the GCF of 79/10, 109/37, 614/771 i.e 1/285270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 79/10, 109/37, 614/771.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 79/10,109/37,614/771
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 79/10,109/37,614/771, numerators are 79,109,614
Denominators are 10,37,771
The GCF of 79,109,614 is 1 .
LCM of 10,37,771 is 285270.
The greatest common factor of 79/10,109/37,614/771 = [GCF of 79,109,614]/[LCM of 10,37,771]= 1/285270
Therefore, the GCF of 79/10,109/37,614/771 is 1/285270.
To find the highest common factor of 79,109,614, we have to find the factors of both numbers and list the highest common factor.
The factors of 79 are 1, 79
The factors of 109 are 1, 109
The factors of 614 are 1, 2, 307, 614
The HCF of 79,109,614 is 1.
Lets's calculate GCF of 79,109,614
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 79
:1,79
Now, list down the factors of 109
:1,109
Now, list down the factors of 614
:1,2,307,614
Greatest Common Factor
We found the factors 79,109,614 . The biggest common factor number is the GCF number.
So the greatest common factor 79,109,614 is 1.
Lets's calculate LCM of 10,37,771
Given numbers has no common factors except 1. So, there LCM is their product i.e 285270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/285270
Therefore, the GCF of Fractions 79/10,109/37,614/771 is 1/285270
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 10,37,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,37,771) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(10,37,771) x common factors =1 x 1 = 1
LCM(10,37,771) = ( 10 × 37 × 771 ) / 1
LCM(10,37,771) = 285270 / 1
LCM(10,37,771) = 285270
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 79,109,614?
The HCF of 79,109,614 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 79/10, 109/37, 614/771?
Answer: GCF of Numerators as per given numbers 79/10, 109/37, 614/771 is
GCF of Numerators i.e. for 79,109,614 is 1
LCM of denominators i.e. for 10,37,771 is 285270.
Thus, GCF of Fractions is 1/285270.Finally, GCF of Fractions for 79/10, 109/37, 614/771 is 1/285270.