Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 432/603,203/178,531/836
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 432,203,531
Greatest Common Factor of Numerators i.e. GCF of 432,203,531 is 1 .
LCM of Denominators means LCM of 603,178,836 as per the given fractions.
LCM of 603,178,836 is 44865612 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 432,203,531
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 432
List of positive integer factors of 432 that divides 432 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Factors of 203
List of positive integer factors of 203 that divides 203 without a remainder.
1,7,29,203
Factors of 531
List of positive integer factors of 531 that divides 531 without a remainder.
1,3,9,59,177,531
Greatest Common Factor
We found the factors 432,203,531 . The biggest common factor number is the GCF number.
So the greatest common factor 432,203,531 is 1.
Lets's calculate LCM of 603,178,836
2 | 603, 178, 836 |
603, 89, 418 |
∴ So the LCM of the given numbers is 2 x 603 x 89 x 418 = 44865612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44865612
Therefore, the GCF of Fractions 432/603,203/178,531/836 is 1/44865612
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 603,178,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,178,836) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(603,178,836) x common factors =1 x 2 = 2
LCM(603,178,836) = ( 603 × 178 × 836 ) / 2
LCM(603,178,836) = 89731224 / 2
LCM(603,178,836) = 44865612
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 432/603, 203/178, 531/836?
Answer: GCF of Numerators as per given numbers 432/603, 203/178, 531/836 is
GCF of Numerators i.e. for 432,203,531 is 1
LCM of denominators i.e. for 603,178,836 is 44865612.
Thus, GCF of Fractions is 1/44865612.Finally, GCF of Fractions for 432/603, 203/178, 531/836 is 1/44865612.