Use our free GCF of Fractions Calculator tool to compute the GCF of 22/920, 377/871, 392/591 i.e 1/473580120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/920, 377/871, 392/591.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 22/920,377/871,392/591
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 22/920,377/871,392/591, numerators are 22,377,392
Denominators are 920,871,591
The GCF of 22,377,392 is 1 .
LCM of 920,871,591 is 473580120.
The greatest common factor of 22/920,377/871,392/591 = [GCF of 22,377,392]/[LCM of 920,871,591]= 1/473580120
Therefore, the GCF of 22/920,377/871,392/591 is 1/473580120.
To find the highest common factor of 22,377,392, we have to find the factors of both numbers and list the highest common factor.
The factors of 22 are 1, 2, 11, 22
The factors of 377 are 1, 13, 29, 377
The factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
The HCF of 22,377,392 is 1.
Lets's calculate GCF of 22,377,392
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 22
:1,2,11,22
Now, list down the factors of 377
:1,13,29,377
Now, list down the factors of 392
:1,2,4,7,8,14,28,49,56,98,196,392
Greatest Common Factor
We found the factors 22,377,392 . The biggest common factor number is the GCF number.
So the greatest common factor 22,377,392 is 1.
Lets's calculate LCM of 920,871,591
Given numbers has no common factors except 1. So, there LCM is their product i.e 473580120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/473580120
Therefore, the GCF of Fractions 22/920,377/871,392/591 is 1/473580120
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 920,871,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(920,871,591) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(920,871,591) x common factors =1 x 1 = 1
LCM(920,871,591) = ( 920 × 871 × 591 ) / 1
LCM(920,871,591) = 473580120 / 1
LCM(920,871,591) = 473580120
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 22,377,392?
The HCF of 22,377,392 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 22/920, 377/871, 392/591?
Answer: GCF of Numerators as per given numbers 22/920, 377/871, 392/591 is
GCF of Numerators i.e. for 22,377,392 is 1
LCM of denominators i.e. for 920,871,591 is 473580120.
Thus, GCF of Fractions is 1/473580120.Finally, GCF of Fractions for 22/920, 377/871, 392/591 is 1/473580120.