Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 185/58,601/72,525/832
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 185,601,525
Greatest Common Factor of Numerators i.e. GCF of 185,601,525 is 1 .
LCM of Denominators means LCM of 58,72,832 as per the given fractions.
LCM of 58,72,832 is 217152 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 185,601,525
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 185
List of positive integer factors of 185 that divides 185 without a remainder.
1,5,37,185
Factors of 601
List of positive integer factors of 601 that divides 601 without a remainder.
1,601
Factors of 525
List of positive integer factors of 525 that divides 525 without a remainder.
1,3,5,7,15,21,25,35,75,105,175,525
Greatest Common Factor
We found the factors 185,601,525 . The biggest common factor number is the GCF number.
So the greatest common factor 185,601,525 is 1.
Lets's calculate LCM of 58,72,832
2 | 58, 72, 832 |
2 | 29, 36, 416 |
2 | 29, 18, 208 |
29, 9, 104 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 29 x 9 x 104 = 217152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/217152
Therefore, the GCF of Fractions 185/58,601/72,525/832 is 1/217152
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 58,72,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,72,832) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(58,72,832) x common factors =2 x 8 = 16
LCM(58,72,832) = ( 58 × 72 × 832 ) / 16
LCM(58,72,832) = 3474432 / 16
LCM(58,72,832) = 217152
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 185/58, 601/72, 525/832?
Answer: GCF of Numerators as per given numbers 185/58, 601/72, 525/832 is
GCF of Numerators i.e. for 185,601,525 is 1
LCM of denominators i.e. for 58,72,832 is 217152.
Thus, GCF of Fractions is 1/217152.Finally, GCF of Fractions for 185/58, 601/72, 525/832 is 1/217152.