Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 58/65,662/57,774/26
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 58,662,774
Greatest Common Factor of Numerators i.e. GCF of 58,662,774 is 2 .
LCM of Denominators means LCM of 65,57,26 as per the given fractions.
LCM of 65,57,26 is 7410 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 58,662,774
2 | 58, 662, 774 |
29, 331, 387 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Factors of 774
List of positive integer factors of 774 that divides 774 without a remainder.
1,2,3,6,9,18,43,86,129,258,387,774
Greatest Common Factor
We found the factors 58,662,774 . The biggest common factor number is the GCF number.
So the greatest common factor 58,662,774 is 2.
Lets's calculate LCM of 65,57,26
13 | 65, 57, 26 |
5, 57, 2 |
∴ So the LCM of the given numbers is 13 x 5 x 57 x 2 = 7410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7410
Therefore, the GCF of Fractions 58/65,662/57,774/26 is 2/7410
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 65,57,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,57,26) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(65,57,26) x common factors =1 x 13 = 13
LCM(65,57,26) = ( 65 × 57 × 26 ) / 13
LCM(65,57,26) = 96330 / 13
LCM(65,57,26) = 7410
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 58/65, 662/57, 774/26?
Answer: GCF of Numerators as per given numbers 58/65, 662/57, 774/26 is
GCF of Numerators i.e. for 58,662,774 is 2
LCM of denominators i.e. for 65,57,26 is 7410.
Thus, GCF of Fractions is 2/7410.Finally, GCF of Fractions for 58/65, 662/57, 774/26 is 2/7410.