Use our free GCF of Fractions Calculator tool to compute the GCF of 421/195, 216/577 i.e 1/112515 easily. The following is the detailed procedure to determine the greatest common factor of fractions 421/195, 216/577.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 421/195,216/577
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 421/195,216/577, numerators are 421,216
Denominators are 195,577
The GCF of 421,216 is 1 .
LCM of 195,577 is 112515.
The greatest common factor of 421/195,216/577 = [GCF of 421,216]/[LCM of 195,577]= 1/112515
Therefore, the GCF of 421/195,216/577 is 1/112515.
To find the highest common factor of 421,216, we have to find the factors of both numbers and list the highest common factor.
The factors of 421 are 1, 421
The factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
The HCF of 421,216 is 1.
Lets's calculate GCF of 421,216
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 421
:1,421
Now, list down the factors of 216
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Greatest Common Factor
We found the factors 421,216 . The biggest common factor number is the GCF number.
So the greatest common factor 421,216 is 1.
Lets's calculate LCM of 195,577
Given numbers has no common factors except 1. So, there LCM is their product i.e 112515
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112515
Therefore, the GCF of Fractions 421/195,216/577 is 1/112515
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 195,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(195,577) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(195,577) x common factors =1 x 1 = 1
LCM(195,577) = ( 195 × 577 ) / 1
LCM(195,577) = 112515 / 1
LCM(195,577) = 112515
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 421,216?
The HCF of 421,216 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 421/195, 216/577?
Answer: GCF of Numerators as per given numbers 421/195, 216/577 is
GCF of Numerators i.e. for 421,216 is 1
LCM of denominators i.e. for 195,577 is 112515.
Thus, GCF of Fractions is 1/112515.Finally, GCF of Fractions for 421/195, 216/577 is 1/112515.