Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3377/869,8597/4458
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 3377,8597
Greatest Common Factor of Numerators i.e. GCF of 3377,8597 is 1 .
LCM of Denominators means LCM of 869,4458 as per the given fractions.
LCM of 869,4458 is 3874002 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3377,8597
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3377
List of positive integer factors of 3377 that divides 3377 without a remainder.
1,11,307,3377
Factors of 8597
List of positive integer factors of 8597 that divides 8597 without a remainder.
1,8597
Greatest Common Factor
We found the factors 3377,8597 . The biggest common factor number is the GCF number.
So the greatest common factor 3377,8597 is 1.
Lets's calculate LCM of 869,4458
Given numbers has no common factors except 1. So, there LCM is their product i.e 3874002
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3874002
Therefore, the GCF of Fractions 3377/869,8597/4458 is 1/3874002
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 869,4458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,4458) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(869,4458) x common factors =1 x 1 = 1
LCM(869,4458) = ( 869 × 4458 ) / 1
LCM(869,4458) = 3874002 / 1
LCM(869,4458) = 3874002
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 3377/869, 8597/4458?
Answer: GCF of Numerators as per given numbers 3377/869, 8597/4458 is
GCF of Numerators i.e. for 3377,8597 is 1
LCM of denominators i.e. for 869,4458 is 3874002.
Thus, GCF of Fractions is 1/3874002.Finally, GCF of Fractions for 3377/869, 8597/4458 is 1/3874002.