Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 765/50,357/57,642/193
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 765,357,642
Greatest Common Factor of Numerators i.e. GCF of 765,357,642 is 3 .
LCM of Denominators means LCM of 50,57,193 as per the given fractions.
LCM of 50,57,193 is 550050 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 765,357,642
3 | 765, 357, 642 |
255, 119, 214 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Factors of 357
List of positive integer factors of 357 that divides 357 without a remainder.
1,3,7,17,21,51,119,357
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Greatest Common Factor
We found the factors 765,357,642 . The biggest common factor number is the GCF number.
So the greatest common factor 765,357,642 is 3.
Lets's calculate LCM of 50,57,193
Given numbers has no common factors except 1. So, there LCM is their product i.e 550050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/550050
Therefore, the GCF of Fractions 765/50,357/57,642/193 is 3/550050
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 50,57,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,57,193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(50,57,193) x common factors =1 x 1 = 1
LCM(50,57,193) = ( 50 × 57 × 193 ) / 1
LCM(50,57,193) = 550050 / 1
LCM(50,57,193) = 550050
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 765/50, 357/57, 642/193?
Answer: GCF of Numerators as per given numbers 765/50, 357/57, 642/193 is
GCF of Numerators i.e. for 765,357,642 is 3
LCM of denominators i.e. for 50,57,193 is 550050.
Thus, GCF of Fractions is 3/550050.Finally, GCF of Fractions for 765/50, 357/57, 642/193 is 3/550050.