Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4285/156,3054/4633
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 4285,3054
Greatest Common Factor of Numerators i.e. GCF of 4285,3054 is 1 .
LCM of Denominators means LCM of 156,4633 as per the given fractions.
LCM of 156,4633 is 722748 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4285,3054
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4285
List of positive integer factors of 4285 that divides 4285 without a remainder.
1,5,857,4285
Factors of 3054
List of positive integer factors of 3054 that divides 3054 without a remainder.
1,2,3,6,509,1018,1527,3054
Greatest Common Factor
We found the factors 4285,3054 . The biggest common factor number is the GCF number.
So the greatest common factor 4285,3054 is 1.
Lets's calculate LCM of 156,4633
Given numbers has no common factors except 1. So, there LCM is their product i.e 722748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/722748
Therefore, the GCF of Fractions 4285/156,3054/4633 is 1/722748
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 156,4633 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,4633) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(156,4633) x common factors =1 x 1 = 1
LCM(156,4633) = ( 156 × 4633 ) / 1
LCM(156,4633) = 722748 / 1
LCM(156,4633) = 722748
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 4285/156, 3054/4633?
Answer: GCF of Numerators as per given numbers 4285/156, 3054/4633 is
GCF of Numerators i.e. for 4285,3054 is 1
LCM of denominators i.e. for 156,4633 is 722748.
Thus, GCF of Fractions is 1/722748.Finally, GCF of Fractions for 4285/156, 3054/4633 is 1/722748.