Use our free GCF of Fractions Calculator tool to compute the GCF of 26/30, 389/67, 354/422 i.e 1/424110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 26/30, 389/67, 354/422.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 26/30,389/67,354/422
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 26/30,389/67,354/422, numerators are 26,389,354
Denominators are 30,67,422
The GCF of 26,389,354 is 1 .
LCM of 30,67,422 is 424110.
The greatest common factor of 26/30,389/67,354/422 = [GCF of 26,389,354]/[LCM of 30,67,422]= 1/424110
Therefore, the GCF of 26/30,389/67,354/422 is 1/424110.
To find the highest common factor of 26,389,354, we have to find the factors of both numbers and list the highest common factor.
The factors of 26 are 1, 2, 13, 26
The factors of 389 are 1, 389
The factors of 354 are 1, 2, 3, 6, 59, 118, 177, 354
The HCF of 26,389,354 is 1.
Lets's calculate GCF of 26,389,354
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 26
:1,2,13,26
Now, list down the factors of 389
:1,389
Now, list down the factors of 354
:1,2,3,6,59,118,177,354
Greatest Common Factor
We found the factors 26,389,354 . The biggest common factor number is the GCF number.
So the greatest common factor 26,389,354 is 1.
Lets's calculate LCM of 30,67,422
2 | 30, 67, 422 |
15, 67, 211 |
∴ So the LCM of the given numbers is 2 x 15 x 67 x 211 = 424110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/424110
Therefore, the GCF of Fractions 26/30,389/67,354/422 is 1/424110
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 30,67,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,67,422) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(30,67,422) x common factors =1 x 2 = 2
LCM(30,67,422) = ( 30 × 67 × 422 ) / 2
LCM(30,67,422) = 848220 / 2
LCM(30,67,422) = 424110
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 26,389,354?
The HCF of 26,389,354 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 26/30, 389/67, 354/422?
Answer: GCF of Numerators as per given numbers 26/30, 389/67, 354/422 is
GCF of Numerators i.e. for 26,389,354 is 1
LCM of denominators i.e. for 30,67,422 is 424110.
Thus, GCF of Fractions is 1/424110.Finally, GCF of Fractions for 26/30, 389/67, 354/422 is 1/424110.