Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4358/943,1989/9566
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 4358,1989
Greatest Common Factor of Numerators i.e. GCF of 4358,1989 is 1 .
LCM of Denominators means LCM of 943,9566 as per the given fractions.
LCM of 943,9566 is 9020738 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4358,1989
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4358
List of positive integer factors of 4358 that divides 4358 without a remainder.
1,2,2179,4358
Factors of 1989
List of positive integer factors of 1989 that divides 1989 without a remainder.
1,3,9,13,17,39,51,117,153,221,663,1989
Greatest Common Factor
We found the factors 4358,1989 . The biggest common factor number is the GCF number.
So the greatest common factor 4358,1989 is 1.
Lets's calculate LCM of 943,9566
Given numbers has no common factors except 1. So, there LCM is their product i.e 9020738
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9020738
Therefore, the GCF of Fractions 4358/943,1989/9566 is 1/9020738
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 943,9566 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(943,9566) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(943,9566) x common factors =1 x 1 = 1
LCM(943,9566) = ( 943 × 9566 ) / 1
LCM(943,9566) = 9020738 / 1
LCM(943,9566) = 9020738
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 4358/943, 1989/9566?
Answer: GCF of Numerators as per given numbers 4358/943, 1989/9566 is
GCF of Numerators i.e. for 4358,1989 is 1
LCM of denominators i.e. for 943,9566 is 9020738.
Thus, GCF of Fractions is 1/9020738.Finally, GCF of Fractions for 4358/943, 1989/9566 is 1/9020738.