Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 555/528,4612/623
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 555,4612
Greatest Common Factor of Numerators i.e. GCF of 555,4612 is 1 .
LCM of Denominators means LCM of 528,623 as per the given fractions.
LCM of 528,623 is 328944 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 555,4612
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 555
List of positive integer factors of 555 that divides 555 without a remainder.
1,3,5,15,37,111,185,555
Factors of 4612
List of positive integer factors of 4612 that divides 4612 without a remainder.
1,2,4,1153,2306,4612
Greatest Common Factor
We found the factors 555,4612 . The biggest common factor number is the GCF number.
So the greatest common factor 555,4612 is 1.
Lets's calculate LCM of 528,623
Given numbers has no common factors except 1. So, there LCM is their product i.e 328944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/328944
Therefore, the GCF of Fractions 555/528,4612/623 is 1/328944
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 528,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(528,623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(528,623) x common factors =1 x 1 = 1
LCM(528,623) = ( 528 × 623 ) / 1
LCM(528,623) = 328944 / 1
LCM(528,623) = 328944
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 555/528, 4612/623?
Answer: GCF of Numerators as per given numbers 555/528, 4612/623 is
GCF of Numerators i.e. for 555,4612 is 1
LCM of denominators i.e. for 528,623 is 328944.
Thus, GCF of Fractions is 1/328944.Finally, GCF of Fractions for 555/528, 4612/623 is 1/328944.