Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 351/623,419/887
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 351,419
Greatest Common Factor of Numerators i.e. GCF of 351,419 is 1 .
LCM of Denominators means LCM of 623,887 as per the given fractions.
LCM of 623,887 is 552601 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 351,419
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 351
List of positive integer factors of 351 that divides 351 without a remainder.
1,3,9,13,27,39,117,351
Factors of 419
List of positive integer factors of 419 that divides 419 without a remainder.
1,419
Greatest Common Factor
We found the factors 351,419 . The biggest common factor number is the GCF number.
So the greatest common factor 351,419 is 1.
Lets's calculate LCM of 623,887
Given numbers has no common factors except 1. So, there LCM is their product i.e 552601
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/552601
Therefore, the GCF of Fractions 351/623,419/887 is 1/552601
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 623,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(623,887) x common factors =1 x 1 = 1
LCM(623,887) = ( 623 × 887 ) / 1
LCM(623,887) = 552601 / 1
LCM(623,887) = 552601
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 351/623, 419/887?
Answer: GCF of Numerators as per given numbers 351/623, 419/887 is
GCF of Numerators i.e. for 351,419 is 1
LCM of denominators i.e. for 623,887 is 552601.
Thus, GCF of Fractions is 1/552601.Finally, GCF of Fractions for 351/623, 419/887 is 1/552601.