Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 607/64,364/4566
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 607,364
Greatest Common Factor of Numerators i.e. GCF of 607,364 is 1 .
LCM of Denominators means LCM of 64,4566 as per the given fractions.
LCM of 64,4566 is 146112 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 607,364
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 607
List of positive integer factors of 607 that divides 607 without a remainder.
1,607
Factors of 364
List of positive integer factors of 364 that divides 364 without a remainder.
1,2,4,7,13,14,26,28,52,91,182,364
Greatest Common Factor
We found the factors 607,364 . The biggest common factor number is the GCF number.
So the greatest common factor 607,364 is 1.
Lets's calculate LCM of 64,4566
2 | 64, 4566 |
32, 2283 |
∴ So the LCM of the given numbers is 2 x 32 x 2283 = 146112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146112
Therefore, the GCF of Fractions 607/64,364/4566 is 1/146112
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 64,4566 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,4566) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(64,4566) x common factors =2 x 1 = 2
LCM(64,4566) = ( 64 × 4566 ) / 2
LCM(64,4566) = 292224 / 2
LCM(64,4566) = 146112
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 607/64, 364/4566?
Answer: GCF of Numerators as per given numbers 607/64, 364/4566 is
GCF of Numerators i.e. for 607,364 is 1
LCM of denominators i.e. for 64,4566 is 146112.
Thus, GCF of Fractions is 1/146112.Finally, GCF of Fractions for 607/64, 364/4566 is 1/146112.