Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9037/647,2297/5150
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 9037,2297
Greatest Common Factor of Numerators i.e. GCF of 9037,2297 is 1 .
LCM of Denominators means LCM of 647,5150 as per the given fractions.
LCM of 647,5150 is 3332050 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9037,2297
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9037
List of positive integer factors of 9037 that divides 9037 without a remainder.
1,7,1291,9037
Factors of 2297
List of positive integer factors of 2297 that divides 2297 without a remainder.
1,2297
Greatest Common Factor
We found the factors 9037,2297 . The biggest common factor number is the GCF number.
So the greatest common factor 9037,2297 is 1.
Lets's calculate LCM of 647,5150
Given numbers has no common factors except 1. So, there LCM is their product i.e 3332050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3332050
Therefore, the GCF of Fractions 9037/647,2297/5150 is 1/3332050
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 647,5150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(647,5150) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(647,5150) x common factors =1 x 1 = 1
LCM(647,5150) = ( 647 × 5150 ) / 1
LCM(647,5150) = 3332050 / 1
LCM(647,5150) = 3332050
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 9037/647, 2297/5150?
Answer: GCF of Numerators as per given numbers 9037/647, 2297/5150 is
GCF of Numerators i.e. for 9037,2297 is 1
LCM of denominators i.e. for 647,5150 is 3332050.
Thus, GCF of Fractions is 1/3332050.Finally, GCF of Fractions for 9037/647, 2297/5150 is 1/3332050.