Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 880/25,3291/319
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 880,3291
Greatest Common Factor of Numerators i.e. GCF of 880,3291 is 1 .
LCM of Denominators means LCM of 25,319 as per the given fractions.
LCM of 25,319 is 7975 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 880,3291
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 880
List of positive integer factors of 880 that divides 880 without a remainder.
1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Factors of 3291
List of positive integer factors of 3291 that divides 3291 without a remainder.
1,3,1097,3291
Greatest Common Factor
We found the factors 880,3291 . The biggest common factor number is the GCF number.
So the greatest common factor 880,3291 is 1.
Lets's calculate LCM of 25,319
Given numbers has no common factors except 1. So, there LCM is their product i.e 7975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7975
Therefore, the GCF of Fractions 880/25,3291/319 is 1/7975
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 25,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,319) x common factors =1 x 1 = 1
LCM(25,319) = ( 25 × 319 ) / 1
LCM(25,319) = 7975 / 1
LCM(25,319) = 7975
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 880/25, 3291/319?
Answer: GCF of Numerators as per given numbers 880/25, 3291/319 is
GCF of Numerators i.e. for 880,3291 is 1
LCM of denominators i.e. for 25,319 is 7975.
Thus, GCF of Fractions is 1/7975.Finally, GCF of Fractions for 880/25, 3291/319 is 1/7975.