Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7039/767,4265/485
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 7039,4265
Greatest Common Factor of Numerators i.e. GCF of 7039,4265 is 1 .
LCM of Denominators means LCM of 767,485 as per the given fractions.
LCM of 767,485 is 371995 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7039,4265
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7039
List of positive integer factors of 7039 that divides 7039 without a remainder.
1,7039
Factors of 4265
List of positive integer factors of 4265 that divides 4265 without a remainder.
1,5,853,4265
Greatest Common Factor
We found the factors 7039,4265 . The biggest common factor number is the GCF number.
So the greatest common factor 7039,4265 is 1.
Lets's calculate LCM of 767,485
Given numbers has no common factors except 1. So, there LCM is their product i.e 371995
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/371995
Therefore, the GCF of Fractions 7039/767,4265/485 is 1/371995
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 767,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(767,485) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(767,485) x common factors =1 x 1 = 1
LCM(767,485) = ( 767 × 485 ) / 1
LCM(767,485) = 371995 / 1
LCM(767,485) = 371995
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 7039/767, 4265/485?
Answer: GCF of Numerators as per given numbers 7039/767, 4265/485 is
GCF of Numerators i.e. for 7039,4265 is 1
LCM of denominators i.e. for 767,485 is 371995.
Thus, GCF of Fractions is 1/371995.Finally, GCF of Fractions for 7039/767, 4265/485 is 1/371995.