Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8891/154,5898/972
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 8891,5898
Greatest Common Factor of Numerators i.e. GCF of 8891,5898 is 1 .
LCM of Denominators means LCM of 154,972 as per the given fractions.
LCM of 154,972 is 74844 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8891,5898
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8891
List of positive integer factors of 8891 that divides 8891 without a remainder.
1,17,523,8891
Factors of 5898
List of positive integer factors of 5898 that divides 5898 without a remainder.
1,2,3,6,983,1966,2949,5898
Greatest Common Factor
We found the factors 8891,5898 . The biggest common factor number is the GCF number.
So the greatest common factor 8891,5898 is 1.
Lets's calculate LCM of 154,972
2 | 154, 972 |
77, 486 |
∴ So the LCM of the given numbers is 2 x 77 x 486 = 74844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74844
Therefore, the GCF of Fractions 8891/154,5898/972 is 1/74844
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 154,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(154,972) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(154,972) x common factors =2 x 1 = 2
LCM(154,972) = ( 154 × 972 ) / 2
LCM(154,972) = 149688 / 2
LCM(154,972) = 74844
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 8891/154, 5898/972?
Answer: GCF of Numerators as per given numbers 8891/154, 5898/972 is
GCF of Numerators i.e. for 8891,5898 is 1
LCM of denominators i.e. for 154,972 is 74844.
Thus, GCF of Fractions is 1/74844.Finally, GCF of Fractions for 8891/154, 5898/972 is 1/74844.