Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9956/977,9941/9395
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 9956,9941
Greatest Common Factor of Numerators i.e. GCF of 9956,9941 is 1 .
LCM of Denominators means LCM of 977,9395 as per the given fractions.
LCM of 977,9395 is 9178915 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9956,9941
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9956
List of positive integer factors of 9956 that divides 9956 without a remainder.
1,2,4,19,38,76,131,262,524,2489,4978,9956
Factors of 9941
List of positive integer factors of 9941 that divides 9941 without a remainder.
1,9941
Greatest Common Factor
We found the factors 9956,9941 . The biggest common factor number is the GCF number.
So the greatest common factor 9956,9941 is 1.
Lets's calculate LCM of 977,9395
Given numbers has no common factors except 1. So, there LCM is their product i.e 9178915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9178915
Therefore, the GCF of Fractions 9956/977,9941/9395 is 1/9178915
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 977,9395 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,9395) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(977,9395) x common factors =1 x 1 = 1
LCM(977,9395) = ( 977 × 9395 ) / 1
LCM(977,9395) = 9178915 / 1
LCM(977,9395) = 9178915
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 9956/977, 9941/9395?
Answer: GCF of Numerators as per given numbers 9956/977, 9941/9395 is
GCF of Numerators i.e. for 9956,9941 is 1
LCM of denominators i.e. for 977,9395 is 9178915.
Thus, GCF of Fractions is 1/9178915.Finally, GCF of Fractions for 9956/977, 9941/9395 is 1/9178915.