Use our free GCF of Fractions Calculator tool to compute the GCF of 19/71, 621/10, 452/654 i.e 1/232170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 19/71, 621/10, 452/654.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 19/71,621/10,452/654
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 19/71,621/10,452/654, numerators are 19,621,452
Denominators are 71,10,654
The GCF of 19,621,452 is 1 .
LCM of 71,10,654 is 232170.
The greatest common factor of 19/71,621/10,452/654 = [GCF of 19,621,452]/[LCM of 71,10,654]= 1/232170
Therefore, the GCF of 19/71,621/10,452/654 is 1/232170.
To find the highest common factor of 19,621,452, we have to find the factors of both numbers and list the highest common factor.
The factors of 19 are 1, 19
The factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621
The factors of 452 are 1, 2, 4, 113, 226, 452
The HCF of 19,621,452 is 1.
Lets's calculate GCF of 19,621,452
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 19
:1,19
Now, list down the factors of 621
:1,3,9,23,27,69,207,621
Now, list down the factors of 452
:1,2,4,113,226,452
Greatest Common Factor
We found the factors 19,621,452 . The biggest common factor number is the GCF number.
So the greatest common factor 19,621,452 is 1.
Lets's calculate LCM of 71,10,654
2 | 71, 10, 654 |
71, 5, 327 |
∴ So the LCM of the given numbers is 2 x 71 x 5 x 327 = 232170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/232170
Therefore, the GCF of Fractions 19/71,621/10,452/654 is 1/232170
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 71,10,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,10,654) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(71,10,654) x common factors =1 x 2 = 2
LCM(71,10,654) = ( 71 × 10 × 654 ) / 2
LCM(71,10,654) = 464340 / 2
LCM(71,10,654) = 232170
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 19,621,452?
The HCF of 19,621,452 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 19/71, 621/10, 452/654?
Answer: GCF of Numerators as per given numbers 19/71, 621/10, 452/654 is
GCF of Numerators i.e. for 19,621,452 is 1
LCM of denominators i.e. for 71,10,654 is 232170.
Thus, GCF of Fractions is 1/232170.Finally, GCF of Fractions for 19/71, 621/10, 452/654 is 1/232170.