Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7483/873,1097/647
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 7483,1097
Greatest Common Factor of Numerators i.e. GCF of 7483,1097 is 1 .
LCM of Denominators means LCM of 873,647 as per the given fractions.
LCM of 873,647 is 564831 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7483,1097
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7483
List of positive integer factors of 7483 that divides 7483 without a remainder.
1,7,1069,7483
Factors of 1097
List of positive integer factors of 1097 that divides 1097 without a remainder.
1,1097
Greatest Common Factor
We found the factors 7483,1097 . The biggest common factor number is the GCF number.
So the greatest common factor 7483,1097 is 1.
Lets's calculate LCM of 873,647
Given numbers has no common factors except 1. So, there LCM is their product i.e 564831
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/564831
Therefore, the GCF of Fractions 7483/873,1097/647 is 1/564831
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 873,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,647) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(873,647) x common factors =1 x 1 = 1
LCM(873,647) = ( 873 × 647 ) / 1
LCM(873,647) = 564831 / 1
LCM(873,647) = 564831
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 7483/873, 1097/647?
Answer: GCF of Numerators as per given numbers 7483/873, 1097/647 is
GCF of Numerators i.e. for 7483,1097 is 1
LCM of denominators i.e. for 873,647 is 564831.
Thus, GCF of Fractions is 1/564831.Finally, GCF of Fractions for 7483/873, 1097/647 is 1/564831.