Use our free GCF of Fractions Calculator tool to compute the GCF of 30/859, 577/448, 527/479 i.e 1/184334528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/859, 577/448, 527/479.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 30/859,577/448,527/479
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 30/859,577/448,527/479, numerators are 30,577,527
Denominators are 859,448,479
The GCF of 30,577,527 is 1 .
LCM of 859,448,479 is 184334528.
The greatest common factor of 30/859,577/448,527/479 = [GCF of 30,577,527]/[LCM of 859,448,479]= 1/184334528
Therefore, the GCF of 30/859,577/448,527/479 is 1/184334528.
To find the highest common factor of 30,577,527, we have to find the factors of both numbers and list the highest common factor.
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
The factors of 577 are 1, 577
The factors of 527 are 1, 17, 31, 527
The HCF of 30,577,527 is 1.
Lets's calculate GCF of 30,577,527
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 30
:1,2,3,5,6,10,15,30
Now, list down the factors of 577
:1,577
Now, list down the factors of 527
:1,17,31,527
Greatest Common Factor
We found the factors 30,577,527 . The biggest common factor number is the GCF number.
So the greatest common factor 30,577,527 is 1.
Lets's calculate LCM of 859,448,479
Given numbers has no common factors except 1. So, there LCM is their product i.e 184334528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/184334528
Therefore, the GCF of Fractions 30/859,577/448,527/479 is 1/184334528
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 859,448,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(859,448,479) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(859,448,479) x common factors =1 x 1 = 1
LCM(859,448,479) = ( 859 × 448 × 479 ) / 1
LCM(859,448,479) = 184334528 / 1
LCM(859,448,479) = 184334528
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 30,577,527?
The HCF of 30,577,527 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 30/859, 577/448, 527/479?
Answer: GCF of Numerators as per given numbers 30/859, 577/448, 527/479 is
GCF of Numerators i.e. for 30,577,527 is 1
LCM of denominators i.e. for 859,448,479 is 184334528.
Thus, GCF of Fractions is 1/184334528.Finally, GCF of Fractions for 30/859, 577/448, 527/479 is 1/184334528.