Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 357/89,955/77,198/351
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 357,955,198
Greatest Common Factor of Numerators i.e. GCF of 357,955,198 is 1 .
LCM of Denominators means LCM of 89,77,351 as per the given fractions.
LCM of 89,77,351 is 2405403 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 357,955,198
∴ So GCF of numbers is 1 because of no common factors present between them.
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 955
List of positive integer factors of 955 that divides 955 without a remainder.
1,5,191,955
Factors of 198
List of positive integer factors of 198 that divides 198 without a remainder.
1,2,3,6,9,11,18,22,33,66,99,198
Greatest Common Factor
We found the factors 357,955,198 . The biggest common factor number is the GCF number.
So the greatest common factor 357,955,198 is 1.
Lets's calculate LCM of 89,77,351
Given numbers has no common factors except 1. So, there LCM is their product i.e 2405403
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2405403
Therefore, the GCF of Fractions 357/89,955/77,198/351 is 1/2405403
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 89,77,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,77,351) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,77,351) x common factors =1 x 1 = 1
LCM(89,77,351) = ( 89 × 77 × 351 ) / 1
LCM(89,77,351) = 2405403 / 1
LCM(89,77,351) = 2405403
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 357/89, 955/77, 198/351?
Answer: GCF of Numerators as per given numbers 357/89, 955/77, 198/351 is
GCF of Numerators i.e. for 357,955,198 is 1
LCM of denominators i.e. for 89,77,351 is 2405403.
Thus, GCF of Fractions is 1/2405403.Finally, GCF of Fractions for 357/89, 955/77, 198/351 is 1/2405403.