Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7102/41,5937/584
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 7102,5937
Greatest Common Factor of Numerators i.e. GCF of 7102,5937 is 1 .
LCM of Denominators means LCM of 41,584 as per the given fractions.
LCM of 41,584 is 23944 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7102,5937
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7102
List of positive integer factors of 7102 that divides 7102 without a remainder.
1,2,53,67,106,134,3551,7102
Factors of 5937
List of positive integer factors of 5937 that divides 5937 without a remainder.
1,3,1979,5937
Greatest Common Factor
We found the factors 7102,5937 . The biggest common factor number is the GCF number.
So the greatest common factor 7102,5937 is 1.
Lets's calculate LCM of 41,584
Given numbers has no common factors except 1. So, there LCM is their product i.e 23944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23944
Therefore, the GCF of Fractions 7102/41,5937/584 is 1/23944
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 41,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,584) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,584) x common factors =1 x 1 = 1
LCM(41,584) = ( 41 × 584 ) / 1
LCM(41,584) = 23944 / 1
LCM(41,584) = 23944
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 7102/41, 5937/584?
Answer: GCF of Numerators as per given numbers 7102/41, 5937/584 is
GCF of Numerators i.e. for 7102,5937 is 1
LCM of denominators i.e. for 41,584 is 23944.
Thus, GCF of Fractions is 1/23944.Finally, GCF of Fractions for 7102/41, 5937/584 is 1/23944.