Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2/841,27/998,95/837
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 2,27,95
Greatest Common Factor of Numerators i.e. GCF of 2,27,95 is 1 .
LCM of Denominators means LCM of 841,998,837 as per the given fractions.
LCM of 841,998,837 is 702509166 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2,27,95
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2
List of positive integer factors of 2 that divides 2 without a remainder.
1,2
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Greatest Common Factor
We found the factors 2,27,95 . The biggest common factor number is the GCF number.
So the greatest common factor 2,27,95 is 1.
Lets's calculate LCM of 841,998,837
Given numbers has no common factors except 1. So, there LCM is their product i.e 702509166
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/702509166
Therefore, the GCF of Fractions 2/841,27/998,95/837 is 1/702509166
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 841,998,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(841,998,837) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(841,998,837) x common factors =1 x 1 = 1
LCM(841,998,837) = ( 841 × 998 × 837 ) / 1
LCM(841,998,837) = 702509166 / 1
LCM(841,998,837) = 702509166
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 2/841, 27/998, 95/837?
Answer: GCF of Numerators as per given numbers 2/841, 27/998, 95/837 is
GCF of Numerators i.e. for 2,27,95 is 1
LCM of denominators i.e. for 841,998,837 is 702509166.
Thus, GCF of Fractions is 1/702509166.Finally, GCF of Fractions for 2/841, 27/998, 95/837 is 1/702509166.