Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6064/563,1009/1364
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 6064,1009
Greatest Common Factor of Numerators i.e. GCF of 6064,1009 is 1 .
LCM of Denominators means LCM of 563,1364 as per the given fractions.
LCM of 563,1364 is 767932 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6064,1009
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6064
List of positive integer factors of 6064 that divides 6064 without a remainder.
1,2,4,8,16,379,758,1516,3032,6064
Factors of 1009
List of positive integer factors of 1009 that divides 1009 without a remainder.
1,1009
Greatest Common Factor
We found the factors 6064,1009 . The biggest common factor number is the GCF number.
So the greatest common factor 6064,1009 is 1.
Lets's calculate LCM of 563,1364
Given numbers has no common factors except 1. So, there LCM is their product i.e 767932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/767932
Therefore, the GCF of Fractions 6064/563,1009/1364 is 1/767932
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 563,1364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(563,1364) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(563,1364) x common factors =1 x 1 = 1
LCM(563,1364) = ( 563 × 1364 ) / 1
LCM(563,1364) = 767932 / 1
LCM(563,1364) = 767932
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 6064/563, 1009/1364?
Answer: GCF of Numerators as per given numbers 6064/563, 1009/1364 is
GCF of Numerators i.e. for 6064,1009 is 1
LCM of denominators i.e. for 563,1364 is 767932.
Thus, GCF of Fractions is 1/767932.Finally, GCF of Fractions for 6064/563, 1009/1364 is 1/767932.