Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6564/948,9979/775
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 6564,9979
Greatest Common Factor of Numerators i.e. GCF of 6564,9979 is 1 .
LCM of Denominators means LCM of 948,775 as per the given fractions.
LCM of 948,775 is 734700 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6564,9979
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6564
List of positive integer factors of 6564 that divides 6564 without a remainder.
1,2,3,4,6,12,547,1094,1641,2188,3282,6564
Factors of 9979
List of positive integer factors of 9979 that divides 9979 without a remainder.
1,17,587,9979
Greatest Common Factor
We found the factors 6564,9979 . The biggest common factor number is the GCF number.
So the greatest common factor 6564,9979 is 1.
Lets's calculate LCM of 948,775
Given numbers has no common factors except 1. So, there LCM is their product i.e 734700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/734700
Therefore, the GCF of Fractions 6564/948,9979/775 is 1/734700
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 948,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(948,775) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(948,775) x common factors =1 x 1 = 1
LCM(948,775) = ( 948 × 775 ) / 1
LCM(948,775) = 734700 / 1
LCM(948,775) = 734700
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 6564/948, 9979/775?
Answer: GCF of Numerators as per given numbers 6564/948, 9979/775 is
GCF of Numerators i.e. for 6564,9979 is 1
LCM of denominators i.e. for 948,775 is 734700.
Thus, GCF of Fractions is 1/734700.Finally, GCF of Fractions for 6564/948, 9979/775 is 1/734700.