Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 555/739,7282/785
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 555,7282
Greatest Common Factor of Numerators i.e. GCF of 555,7282 is 1 .
LCM of Denominators means LCM of 739,785 as per the given fractions.
LCM of 739,785 is 580115 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 555,7282
∴ 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 7282
List of positive integer factors of 7282 that divides 7282 without a remainder.
1,2,11,22,331,662,3641,7282
Greatest Common Factor
We found the factors 555,7282 . The biggest common factor number is the GCF number.
So the greatest common factor 555,7282 is 1.
Lets's calculate LCM of 739,785
Given numbers has no common factors except 1. So, there LCM is their product i.e 580115
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/580115
Therefore, the GCF of Fractions 555/739,7282/785 is 1/580115
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 739,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(739,785) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(739,785) x common factors =1 x 1 = 1
LCM(739,785) = ( 739 × 785 ) / 1
LCM(739,785) = 580115 / 1
LCM(739,785) = 580115
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 555/739, 7282/785?
Answer: GCF of Numerators as per given numbers 555/739, 7282/785 is
GCF of Numerators i.e. for 555,7282 is 1
LCM of denominators i.e. for 739,785 is 580115.
Thus, GCF of Fractions is 1/580115.Finally, GCF of Fractions for 555/739, 7282/785 is 1/580115.