Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4077/529,5594/8384
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 4077,5594
Greatest Common Factor of Numerators i.e. GCF of 4077,5594 is 1 .
LCM of Denominators means LCM of 529,8384 as per the given fractions.
LCM of 529,8384 is 4435136 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4077,5594
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4077
List of positive integer factors of 4077 that divides 4077 without a remainder.
1,3,9,27,151,453,1359,4077
Factors of 5594
List of positive integer factors of 5594 that divides 5594 without a remainder.
1,2,2797,5594
Greatest Common Factor
We found the factors 4077,5594 . The biggest common factor number is the GCF number.
So the greatest common factor 4077,5594 is 1.
Lets's calculate LCM of 529,8384
Given numbers has no common factors except 1. So, there LCM is their product i.e 4435136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4435136
Therefore, the GCF of Fractions 4077/529,5594/8384 is 1/4435136
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 529,8384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,8384) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,8384) x common factors =1 x 1 = 1
LCM(529,8384) = ( 529 × 8384 ) / 1
LCM(529,8384) = 4435136 / 1
LCM(529,8384) = 4435136
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 4077/529, 5594/8384?
Answer: GCF of Numerators as per given numbers 4077/529, 5594/8384 is
GCF of Numerators i.e. for 4077,5594 is 1
LCM of denominators i.e. for 529,8384 is 4435136.
Thus, GCF of Fractions is 1/4435136.Finally, GCF of Fractions for 4077/529, 5594/8384 is 1/4435136.