Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8851/274,3260/2387
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 8851,3260
Greatest Common Factor of Numerators i.e. GCF of 8851,3260 is 1 .
LCM of Denominators means LCM of 274,2387 as per the given fractions.
LCM of 274,2387 is 654038 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8851,3260
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8851
List of positive integer factors of 8851 that divides 8851 without a remainder.
1,53,167,8851
Factors of 3260
List of positive integer factors of 3260 that divides 3260 without a remainder.
1,2,4,5,10,20,163,326,652,815,1630,3260
Greatest Common Factor
We found the factors 8851,3260 . The biggest common factor number is the GCF number.
So the greatest common factor 8851,3260 is 1.
Lets's calculate LCM of 274,2387
Given numbers has no common factors except 1. So, there LCM is their product i.e 654038
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/654038
Therefore, the GCF of Fractions 8851/274,3260/2387 is 1/654038
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 274,2387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,2387) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(274,2387) x common factors =1 x 1 = 1
LCM(274,2387) = ( 274 × 2387 ) / 1
LCM(274,2387) = 654038 / 1
LCM(274,2387) = 654038
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 8851/274, 3260/2387?
Answer: GCF of Numerators as per given numbers 8851/274, 3260/2387 is
GCF of Numerators i.e. for 8851,3260 is 1
LCM of denominators i.e. for 274,2387 is 654038.
Thus, GCF of Fractions is 1/654038.Finally, GCF of Fractions for 8851/274, 3260/2387 is 1/654038.