Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 505/32,901/31,284/235
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 505,901,284
Greatest Common Factor of Numerators i.e. GCF of 505,901,284 is 1 .
LCM of Denominators means LCM of 32,31,235 as per the given fractions.
LCM of 32,31,235 is 233120 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 505,901,284
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 505
List of positive integer factors of 505 that divides 505 without a remainder.
1,5,101,505
Factors of 901
List of positive integer factors of 901 that divides 901 without a remainder.
1,17,53,901
Factors of 284
List of positive integer factors of 284 that divides 284 without a remainder.
1,2,4,71,142,284
Greatest Common Factor
We found the factors 505,901,284 . The biggest common factor number is the GCF number.
So the greatest common factor 505,901,284 is 1.
Lets's calculate LCM of 32,31,235
Given numbers has no common factors except 1. So, there LCM is their product i.e 233120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/233120
Therefore, the GCF of Fractions 505/32,901/31,284/235 is 1/233120
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 32,31,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,31,235) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(32,31,235) x common factors =1 x 1 = 1
LCM(32,31,235) = ( 32 × 31 × 235 ) / 1
LCM(32,31,235) = 233120 / 1
LCM(32,31,235) = 233120
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 505/32, 901/31, 284/235?
Answer: GCF of Numerators as per given numbers 505/32, 901/31, 284/235 is
GCF of Numerators i.e. for 505,901,284 is 1
LCM of denominators i.e. for 32,31,235 is 233120.
Thus, GCF of Fractions is 1/233120.Finally, GCF of Fractions for 505/32, 901/31, 284/235 is 1/233120.