Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8869/977,8147/992
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 8869,8147
Greatest Common Factor of Numerators i.e. GCF of 8869,8147 is 1 .
LCM of Denominators means LCM of 977,992 as per the given fractions.
LCM of 977,992 is 969184 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8869,8147
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8869
List of positive integer factors of 8869 that divides 8869 without a remainder.
1,7,49,181,1267,8869
Factors of 8147
List of positive integer factors of 8147 that divides 8147 without a remainder.
1,8147
Greatest Common Factor
We found the factors 8869,8147 . The biggest common factor number is the GCF number.
So the greatest common factor 8869,8147 is 1.
Lets's calculate LCM of 977,992
Given numbers has no common factors except 1. So, there LCM is their product i.e 969184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/969184
Therefore, the GCF of Fractions 8869/977,8147/992 is 1/969184
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 977,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,992) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(977,992) x common factors =1 x 1 = 1
LCM(977,992) = ( 977 × 992 ) / 1
LCM(977,992) = 969184 / 1
LCM(977,992) = 969184
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 8869/977, 8147/992?
Answer: GCF of Numerators as per given numbers 8869/977, 8147/992 is
GCF of Numerators i.e. for 8869,8147 is 1
LCM of denominators i.e. for 977,992 is 969184.
Thus, GCF of Fractions is 1/969184.Finally, GCF of Fractions for 8869/977, 8147/992 is 1/969184.