Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 421/91,360/50,163/786
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 421,360,163
Greatest Common Factor of Numerators i.e. GCF of 421,360,163 is 1 .
LCM of Denominators means LCM of 91,50,786 as per the given fractions.
LCM of 91,50,786 is 1788150 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 421,360,163
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 421
List of positive integer factors of 421 that divides 421 without a remainder.
1,421
Factors of 360
List of positive integer factors of 360 that divides 360 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Factors of 163
List of positive integer factors of 163 that divides 163 without a remainder.
1,163
Greatest Common Factor
We found the factors 421,360,163 . The biggest common factor number is the GCF number.
So the greatest common factor 421,360,163 is 1.
Lets's calculate LCM of 91,50,786
2 | 91, 50, 786 |
91, 25, 393 |
∴ So the LCM of the given numbers is 2 x 91 x 25 x 393 = 1788150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1788150
Therefore, the GCF of Fractions 421/91,360/50,163/786 is 1/1788150
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 91,50,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,50,786) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(91,50,786) x common factors =1 x 2 = 2
LCM(91,50,786) = ( 91 × 50 × 786 ) / 2
LCM(91,50,786) = 3576300 / 2
LCM(91,50,786) = 1788150
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 421/91, 360/50, 163/786?
Answer: GCF of Numerators as per given numbers 421/91, 360/50, 163/786 is
GCF of Numerators i.e. for 421,360,163 is 1
LCM of denominators i.e. for 91,50,786 is 1788150.
Thus, GCF of Fractions is 1/1788150.Finally, GCF of Fractions for 421/91, 360/50, 163/786 is 1/1788150.