Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 971/487,491/342
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 971,491
Greatest Common Factor of Numerators i.e. GCF of 971,491 is 1 .
LCM of Denominators means LCM of 487,342 as per the given fractions.
LCM of 487,342 is 166554 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 971,491
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 971
List of positive integer factors of 971 that divides 971 without a remainder.
1,971
Factors of 491
List of positive integer factors of 491 that divides 491 without a remainder.
1,491
Greatest Common Factor
We found the factors 971,491 . The biggest common factor number is the GCF number.
So the greatest common factor 971,491 is 1.
Lets's calculate LCM of 487,342
Given numbers has no common factors except 1. So, there LCM is their product i.e 166554
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/166554
Therefore, the GCF of Fractions 971/487,491/342 is 1/166554
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 487,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(487,342) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(487,342) x common factors =1 x 1 = 1
LCM(487,342) = ( 487 × 342 ) / 1
LCM(487,342) = 166554 / 1
LCM(487,342) = 166554
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 971/487, 491/342?
Answer: GCF of Numerators as per given numbers 971/487, 491/342 is
GCF of Numerators i.e. for 971,491 is 1
LCM of denominators i.e. for 487,342 is 166554.
Thus, GCF of Fractions is 1/166554.Finally, GCF of Fractions for 971/487, 491/342 is 1/166554.