Use our free GCF of Fractions Calculator tool to compute the GCF of 939/968, 358/636 i.e 1/153912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 939/968, 358/636.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 939/968,358/636
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 939/968,358/636, numerators are 939,358
Denominators are 968,636
The GCF of 939,358 is 1 .
LCM of 968,636 is 153912.
The greatest common factor of 939/968,358/636 = [GCF of 939,358]/[LCM of 968,636]= 1/153912
Therefore, the GCF of 939/968,358/636 is 1/153912.
To find the highest common factor of 939,358, we have to find the factors of both numbers and list the highest common factor.
The factors of 939 are 1, 3, 313, 939
The factors of 358 are 1, 2, 179, 358
The HCF of 939,358 is 1.
Lets's calculate GCF of 939,358
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 939
:1,3,313,939
Now, list down the factors of 358
:1,2,179,358
Greatest Common Factor
We found the factors 939,358 . The biggest common factor number is the GCF number.
So the greatest common factor 939,358 is 1.
Lets's calculate LCM of 968,636
2 | 968, 636 |
2 | 484, 318 |
242, 159 |
∴ So the LCM of the given numbers is 2 x 2 x 242 x 159 = 153912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/153912
Therefore, the GCF of Fractions 939/968,358/636 is 1/153912
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 968,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,636) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(968,636) x common factors =4 x 1 = 4
LCM(968,636) = ( 968 × 636 ) / 4
LCM(968,636) = 615648 / 4
LCM(968,636) = 153912
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 939,358?
The HCF of 939,358 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 939/968, 358/636?
Answer: GCF of Numerators as per given numbers 939/968, 358/636 is
GCF of Numerators i.e. for 939,358 is 1
LCM of denominators i.e. for 968,636 is 153912.
Thus, GCF of Fractions is 1/153912.Finally, GCF of Fractions for 939/968, 358/636 is 1/153912.