Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1900/94,9767/979
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 1900,9767
Greatest Common Factor of Numerators i.e. GCF of 1900,9767 is 1 .
LCM of Denominators means LCM of 94,979 as per the given fractions.
LCM of 94,979 is 92026 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1900,9767
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1900
List of positive integer factors of 1900 that divides 1900 without a remainder.
1,2,4,5,10,19,20,25,38,50,76,95,100,190,380,475,950,1900
Factors of 9767
List of positive integer factors of 9767 that divides 9767 without a remainder.
1,9767
Greatest Common Factor
We found the factors 1900,9767 . The biggest common factor number is the GCF number.
So the greatest common factor 1900,9767 is 1.
Lets's calculate LCM of 94,979
Given numbers has no common factors except 1. So, there LCM is their product i.e 92026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92026
Therefore, the GCF of Fractions 1900/94,9767/979 is 1/92026
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 94,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,979) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(94,979) x common factors =1 x 1 = 1
LCM(94,979) = ( 94 × 979 ) / 1
LCM(94,979) = 92026 / 1
LCM(94,979) = 92026
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 1900/94, 9767/979?
Answer: GCF of Numerators as per given numbers 1900/94, 9767/979 is
GCF of Numerators i.e. for 1900,9767 is 1
LCM of denominators i.e. for 94,979 is 92026.
Thus, GCF of Fractions is 1/92026.Finally, GCF of Fractions for 1900/94, 9767/979 is 1/92026.