Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6485/598,7346/5501
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 6485,7346
Greatest Common Factor of Numerators i.e. GCF of 6485,7346 is 1 .
LCM of Denominators means LCM of 598,5501 as per the given fractions.
LCM of 598,5501 is 3289598 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6485,7346
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6485
List of positive integer factors of 6485 that divides 6485 without a remainder.
1,5,1297,6485
Factors of 7346
List of positive integer factors of 7346 that divides 7346 without a remainder.
1,2,3673,7346
Greatest Common Factor
We found the factors 6485,7346 . The biggest common factor number is the GCF number.
So the greatest common factor 6485,7346 is 1.
Lets's calculate LCM of 598,5501
Given numbers has no common factors except 1. So, there LCM is their product i.e 3289598
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3289598
Therefore, the GCF of Fractions 6485/598,7346/5501 is 1/3289598
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 598,5501 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,5501) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(598,5501) x common factors =1 x 1 = 1
LCM(598,5501) = ( 598 × 5501 ) / 1
LCM(598,5501) = 3289598 / 1
LCM(598,5501) = 3289598
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 6485/598, 7346/5501?
Answer: GCF of Numerators as per given numbers 6485/598, 7346/5501 is
GCF of Numerators i.e. for 6485,7346 is 1
LCM of denominators i.e. for 598,5501 is 3289598.
Thus, GCF of Fractions is 1/3289598.Finally, GCF of Fractions for 6485/598, 7346/5501 is 1/3289598.