Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6789/577,1425/3356
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 6789,1425
Greatest Common Factor of Numerators i.e. GCF of 6789,1425 is 3 .
LCM of Denominators means LCM of 577,3356 as per the given fractions.
LCM of 577,3356 is 1936412 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6789,1425
3 | 6789, 1425 |
2263, 475 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 6789
List of positive integer factors of 6789 that divides 6789 without a remainder.
1,3,31,73,93,219,2263,6789
Factors of 1425
List of positive integer factors of 1425 that divides 1425 without a remainder.
1,3,5,15,19,25,57,75,95,285,475,1425
Greatest Common Factor
We found the factors 6789,1425 . The biggest common factor number is the GCF number.
So the greatest common factor 6789,1425 is 3.
Lets's calculate LCM of 577,3356
Given numbers has no common factors except 1. So, there LCM is their product i.e 1936412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1936412
Therefore, the GCF of Fractions 6789/577,1425/3356 is 3/1936412
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 577,3356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(577,3356) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(577,3356) x common factors =1 x 1 = 1
LCM(577,3356) = ( 577 × 3356 ) / 1
LCM(577,3356) = 1936412 / 1
LCM(577,3356) = 1936412
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 6789/577, 1425/3356?
Answer: GCF of Numerators as per given numbers 6789/577, 1425/3356 is
GCF of Numerators i.e. for 6789,1425 is 3
LCM of denominators i.e. for 577,3356 is 1936412.
Thus, GCF of Fractions is 3/1936412.Finally, GCF of Fractions for 6789/577, 1425/3356 is 3/1936412.