Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 989/685,2372/543
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 989,2372
Greatest Common Factor of Numerators i.e. GCF of 989,2372 is 1 .
LCM of Denominators means LCM of 685,543 as per the given fractions.
LCM of 685,543 is 371955 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 989,2372
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 989
List of positive integer factors of 989 that divides 989 without a remainder.
1,23,43,989
Factors of 2372
List of positive integer factors of 2372 that divides 2372 without a remainder.
1,2,4,593,1186,2372
Greatest Common Factor
We found the factors 989,2372 . The biggest common factor number is the GCF number.
So the greatest common factor 989,2372 is 1.
Lets's calculate LCM of 685,543
Given numbers has no common factors except 1. So, there LCM is their product i.e 371955
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/371955
Therefore, the GCF of Fractions 989/685,2372/543 is 1/371955
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 685,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,543) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(685,543) x common factors =1 x 1 = 1
LCM(685,543) = ( 685 × 543 ) / 1
LCM(685,543) = 371955 / 1
LCM(685,543) = 371955
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 989/685, 2372/543?
Answer: GCF of Numerators as per given numbers 989/685, 2372/543 is
GCF of Numerators i.e. for 989,2372 is 1
LCM of denominators i.e. for 685,543 is 371955.
Thus, GCF of Fractions is 1/371955.Finally, GCF of Fractions for 989/685, 2372/543 is 1/371955.