Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 437/57,485/31,527/46
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 437,485,527
Greatest Common Factor of Numerators i.e. GCF of 437,485,527 is 1 .
LCM of Denominators means LCM of 57,31,46 as per the given fractions.
LCM of 57,31,46 is 81282 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 437,485,527
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 437
List of positive integer factors of 437 that divides 437 without a remainder.
1,19,23,437
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1,5,97,485
Factors of 527
List of positive integer factors of 527 that divides 527 without a remainder.
1,17,31,527
Greatest Common Factor
We found the factors 437,485,527 . The biggest common factor number is the GCF number.
So the greatest common factor 437,485,527 is 1.
Lets's calculate LCM of 57,31,46
Given numbers has no common factors except 1. So, there LCM is their product i.e 81282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81282
Therefore, the GCF of Fractions 437/57,485/31,527/46 is 1/81282
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 57,31,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,31,46) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,31,46) x common factors =1 x 1 = 1
LCM(57,31,46) = ( 57 × 31 × 46 ) / 1
LCM(57,31,46) = 81282 / 1
LCM(57,31,46) = 81282
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 437/57, 485/31, 527/46?
Answer: GCF of Numerators as per given numbers 437/57, 485/31, 527/46 is
GCF of Numerators i.e. for 437,485,527 is 1
LCM of denominators i.e. for 57,31,46 is 81282.
Thus, GCF of Fractions is 1/81282.Finally, GCF of Fractions for 437/57, 485/31, 527/46 is 1/81282.