Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 72/85,22/89,871/489
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 72,22,871
Greatest Common Factor of Numerators i.e. GCF of 72,22,871 is 1 .
LCM of Denominators means LCM of 85,89,489 as per the given fractions.
LCM of 85,89,489 is 3699285 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 72,22,871
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 871
List of positive integer factors of 871 that divides 871 without a remainder.
1,13,67,871
Greatest Common Factor
We found the factors 72,22,871 . The biggest common factor number is the GCF number.
So the greatest common factor 72,22,871 is 1.
Lets's calculate LCM of 85,89,489
Given numbers has no common factors except 1. So, there LCM is their product i.e 3699285
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3699285
Therefore, the GCF of Fractions 72/85,22/89,871/489 is 1/3699285
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 85,89,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,89,489) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,89,489) x common factors =1 x 1 = 1
LCM(85,89,489) = ( 85 × 89 × 489 ) / 1
LCM(85,89,489) = 3699285 / 1
LCM(85,89,489) = 3699285
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 72/85, 22/89, 871/489?
Answer: GCF of Numerators as per given numbers 72/85, 22/89, 871/489 is
GCF of Numerators i.e. for 72,22,871 is 1
LCM of denominators i.e. for 85,89,489 is 3699285.
Thus, GCF of Fractions is 1/3699285.Finally, GCF of Fractions for 72/85, 22/89, 871/489 is 1/3699285.