Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 349/41,951/10,285/77
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 349,951,285
Greatest Common Factor of Numerators i.e. GCF of 349,951,285 is 1 .
LCM of Denominators means LCM of 41,10,77 as per the given fractions.
LCM of 41,10,77 is 31570 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 349,951,285
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 349
List of positive integer factors of 349 that divides 349 without a remainder.
1,349
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Factors of 285
List of positive integer factors of 285 that divides 285 without a remainder.
1,3,5,15,19,57,95,285
Greatest Common Factor
We found the factors 349,951,285 . The biggest common factor number is the GCF number.
So the greatest common factor 349,951,285 is 1.
Lets's calculate LCM of 41,10,77
Given numbers has no common factors except 1. So, there LCM is their product i.e 31570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31570
Therefore, the GCF of Fractions 349/41,951/10,285/77 is 1/31570
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 41,10,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,10,77) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,10,77) x common factors =1 x 1 = 1
LCM(41,10,77) = ( 41 × 10 × 77 ) / 1
LCM(41,10,77) = 31570 / 1
LCM(41,10,77) = 31570
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 349/41, 951/10, 285/77?
Answer: GCF of Numerators as per given numbers 349/41, 951/10, 285/77 is
GCF of Numerators i.e. for 349,951,285 is 1
LCM of denominators i.e. for 41,10,77 is 31570.
Thus, GCF of Fractions is 1/31570.Finally, GCF of Fractions for 349/41, 951/10, 285/77 is 1/31570.