Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 975/73,418/93,901/503
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 975,418,901
Greatest Common Factor of Numerators i.e. GCF of 975,418,901 is 1 .
LCM of Denominators means LCM of 73,93,503 as per the given fractions.
LCM of 73,93,503 is 3414867 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 975,418,901
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 975
List of positive integer factors of 975 that divides 975 without a remainder.
1,3,5,13,15,25,39,65,75,195,325,975
Factors of 418
List of positive integer factors of 418 that divides 418 without a remainder.
1,2,11,19,22,38,209,418
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 975,418,901 . The biggest common factor number is the GCF number.
So the greatest common factor 975,418,901 is 1.
Lets's calculate LCM of 73,93,503
Given numbers has no common factors except 1. So, there LCM is their product i.e 3414867
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3414867
Therefore, the GCF of Fractions 975/73,418/93,901/503 is 1/3414867
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 73,93,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,93,503) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,93,503) x common factors =1 x 1 = 1
LCM(73,93,503) = ( 73 × 93 × 503 ) / 1
LCM(73,93,503) = 3414867 / 1
LCM(73,93,503) = 3414867
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 975/73, 418/93, 901/503?
Answer: GCF of Numerators as per given numbers 975/73, 418/93, 901/503 is
GCF of Numerators i.e. for 975,418,901 is 1
LCM of denominators i.e. for 73,93,503 is 3414867.
Thus, GCF of Fractions is 1/3414867.Finally, GCF of Fractions for 975/73, 418/93, 901/503 is 1/3414867.