Use our free GCF of Fractions Calculator tool to compute the GCF of 650/418, 962/671 i.e 26/25498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 650/418, 962/671.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 650/418,962/671
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 650/418,962/671, numerators are 650,962
Denominators are 418,671
The GCF of 650,962 is 26 .
LCM of 418,671 is 25498.
The greatest common factor of 650/418,962/671 = [GCF of 650,962]/[LCM of 418,671]= 26/25498
Therefore, the GCF of 650/418,962/671 is 26/25498.
To find the highest common factor of 650,962, we have to find the factors of both numbers and list the highest common factor.
The factors of 650 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
The factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962
The HCF of 650,962 is 26.
Lets's calculate GCF of 650,962
2 | 650, 962 |
13 | 325, 481 |
25, 37 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Now, list down the factors of 650
:1,2,5,10,13,25,26,50,65,130,325,650
Now, list down the factors of 962
:1,2,13,26,37,74,481,962
Greatest Common Factor
We found the factors 650,962 . The biggest common factor number is the GCF number.
So the greatest common factor 650,962 is 26.
Lets's calculate LCM of 418,671
11 | 418, 671 |
38, 61 |
∴ So the LCM of the given numbers is 11 x 38 x 61 = 25498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/25498
Therefore, the GCF of Fractions 650/418,962/671 is 26/25498
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 418,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,671) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(418,671) x common factors =11 x 1 = 11
LCM(418,671) = ( 418 × 671 ) / 11
LCM(418,671) = 280478 / 11
LCM(418,671) = 25498
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 650,962?
The HCF of 650,962 is 26
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 650/418, 962/671?
Answer: GCF of Numerators as per given numbers 650/418, 962/671 is
GCF of Numerators i.e. for 650,962 is 26
LCM of denominators i.e. for 418,671 is 25498.
Thus, GCF of Fractions is 26/25498.Finally, GCF of Fractions for 650/418, 962/671 is 26/25498.