Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 957/933,431/659,663/931
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 957,431,663
Greatest Common Factor of Numerators i.e. GCF of 957,431,663 is 1 .
LCM of Denominators means LCM of 933,659,931 as per the given fractions.
LCM of 933,659,931 is 572422557 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 957,431,663
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1,3,11,29,33,87,319,957
Factors of 431
List of positive integer factors of 431 that divides 431 without a remainder.
1,431
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 957,431,663 . The biggest common factor number is the GCF number.
So the greatest common factor 957,431,663 is 1.
Lets's calculate LCM of 933,659,931
Given numbers has no common factors except 1. So, there LCM is their product i.e 572422557
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/572422557
Therefore, the GCF of Fractions 957/933,431/659,663/931 is 1/572422557
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 933,659,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,659,931) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(933,659,931) x common factors =1 x 1 = 1
LCM(933,659,931) = ( 933 × 659 × 931 ) / 1
LCM(933,659,931) = 572422557 / 1
LCM(933,659,931) = 572422557
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 957/933, 431/659, 663/931?
Answer: GCF of Numerators as per given numbers 957/933, 431/659, 663/931 is
GCF of Numerators i.e. for 957,431,663 is 1
LCM of denominators i.e. for 933,659,931 is 572422557.
Thus, GCF of Fractions is 1/572422557.Finally, GCF of Fractions for 957/933, 431/659, 663/931 is 1/572422557.