Use our free GCF of Fractions Calculator tool to compute the GCF of 424/991, 219/101 i.e 1/100091 easily. The following is the detailed procedure to determine the greatest common factor of fractions 424/991, 219/101.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 424/991,219/101
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 424/991,219/101, numerators are 424,219
Denominators are 991,101
The GCF of 424,219 is 1 .
LCM of 991,101 is 100091.
The greatest common factor of 424/991,219/101 = [GCF of 424,219]/[LCM of 991,101]= 1/100091
Therefore, the GCF of 424/991,219/101 is 1/100091.
To find the highest common factor of 424,219, we have to find the factors of both numbers and list the highest common factor.
The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424
The factors of 219 are 1, 3, 73, 219
The HCF of 424,219 is 1.
Lets's calculate GCF of 424,219
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 424
:1,2,4,8,53,106,212,424
Now, list down the factors of 219
:1,3,73,219
Greatest Common Factor
We found the factors 424,219 . The biggest common factor number is the GCF number.
So the greatest common factor 424,219 is 1.
Lets's calculate LCM of 991,101
Given numbers has no common factors except 1. So, there LCM is their product i.e 100091
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100091
Therefore, the GCF of Fractions 424/991,219/101 is 1/100091
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 991,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(991,101) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(991,101) x common factors =1 x 1 = 1
LCM(991,101) = ( 991 × 101 ) / 1
LCM(991,101) = 100091 / 1
LCM(991,101) = 100091
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 424,219?
The HCF of 424,219 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 424/991, 219/101?
Answer: GCF of Numerators as per given numbers 424/991, 219/101 is
GCF of Numerators i.e. for 424,219 is 1
LCM of denominators i.e. for 991,101 is 100091.
Thus, GCF of Fractions is 1/100091.Finally, GCF of Fractions for 424/991, 219/101 is 1/100091.