Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 49/747,367/217,901/436
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 49,367,901
Greatest Common Factor of Numerators i.e. GCF of 49,367,901 is 1 .
LCM of Denominators means LCM of 747,217,436 as per the given fractions.
LCM of 747,217,436 is 70675164 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 49,367,901
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 367
List of positive integer factors of 367 that divides 367 without a remainder.
1,367
Factors of 901
List of positive integer factors of 901 that divides 901 without a remainder.
1,17,53,901
Greatest Common Factor
We found the factors 49,367,901 . The biggest common factor number is the GCF number.
So the greatest common factor 49,367,901 is 1.
Lets's calculate LCM of 747,217,436
Given numbers has no common factors except 1. So, there LCM is their product i.e 70675164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70675164
Therefore, the GCF of Fractions 49/747,367/217,901/436 is 1/70675164
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 747,217,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,217,436) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(747,217,436) x common factors =1 x 1 = 1
LCM(747,217,436) = ( 747 × 217 × 436 ) / 1
LCM(747,217,436) = 70675164 / 1
LCM(747,217,436) = 70675164
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 49/747, 367/217, 901/436?
Answer: GCF of Numerators as per given numbers 49/747, 367/217, 901/436 is
GCF of Numerators i.e. for 49,367,901 is 1
LCM of denominators i.e. for 747,217,436 is 70675164.
Thus, GCF of Fractions is 1/70675164.Finally, GCF of Fractions for 49/747, 367/217, 901/436 is 1/70675164.