Use our free GCF of Fractions Calculator tool to compute the GCF of 94/86, 526/21, 489/341 i.e 1/615846 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/86, 526/21, 489/341.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/86,526/21,489/341
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 94/86,526/21,489/341, numerators are 94,526,489
Denominators are 86,21,341
The GCF of 94,526,489 is 1 .
LCM of 86,21,341 is 615846.
The greatest common factor of 94/86,526/21,489/341 = [GCF of 94,526,489]/[LCM of 86,21,341]= 1/615846
Therefore, the GCF of 94/86,526/21,489/341 is 1/615846.
To find the highest common factor of 94,526,489, we have to find the factors of both numbers and list the highest common factor.
The factors of 94 are 1, 2, 47, 94
The factors of 526 are 1, 2, 263, 526
The factors of 489 are 1, 3, 163, 489
The HCF of 94,526,489 is 1.
Lets's calculate GCF of 94,526,489
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 94
:1,2,47,94
Now, list down the factors of 526
:1,2,263,526
Now, list down the factors of 489
:1,3,163,489
Greatest Common Factor
We found the factors 94,526,489 . The biggest common factor number is the GCF number.
So the greatest common factor 94,526,489 is 1.
Lets's calculate LCM of 86,21,341
Given numbers has no common factors except 1. So, there LCM is their product i.e 615846
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/615846
Therefore, the GCF of Fractions 94/86,526/21,489/341 is 1/615846
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 86,21,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,21,341) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(86,21,341) x common factors =1 x 1 = 1
LCM(86,21,341) = ( 86 × 21 × 341 ) / 1
LCM(86,21,341) = 615846 / 1
LCM(86,21,341) = 615846
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 94,526,489?
The HCF of 94,526,489 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 94/86, 526/21, 489/341?
Answer: GCF of Numerators as per given numbers 94/86, 526/21, 489/341 is
GCF of Numerators i.e. for 94,526,489 is 1
LCM of denominators i.e. for 86,21,341 is 615846.
Thus, GCF of Fractions is 1/615846.Finally, GCF of Fractions for 94/86, 526/21, 489/341 is 1/615846.