Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7999/881,3745/495
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 7999,3745
Greatest Common Factor of Numerators i.e. GCF of 7999,3745 is 1 .
LCM of Denominators means LCM of 881,495 as per the given fractions.
LCM of 881,495 is 436095 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7999,3745
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7999
List of positive integer factors of 7999 that divides 7999 without a remainder.
1,19,421,7999
Factors of 3745
List of positive integer factors of 3745 that divides 3745 without a remainder.
1,5,7,35,107,535,749,3745
Greatest Common Factor
We found the factors 7999,3745 . The biggest common factor number is the GCF number.
So the greatest common factor 7999,3745 is 1.
Lets's calculate LCM of 881,495
Given numbers has no common factors except 1. So, there LCM is their product i.e 436095
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/436095
Therefore, the GCF of Fractions 7999/881,3745/495 is 1/436095
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 881,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(881,495) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(881,495) x common factors =1 x 1 = 1
LCM(881,495) = ( 881 × 495 ) / 1
LCM(881,495) = 436095 / 1
LCM(881,495) = 436095
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 7999/881, 3745/495?
Answer: GCF of Numerators as per given numbers 7999/881, 3745/495 is
GCF of Numerators i.e. for 7999,3745 is 1
LCM of denominators i.e. for 881,495 is 436095.
Thus, GCF of Fractions is 1/436095.Finally, GCF of Fractions for 7999/881, 3745/495 is 1/436095.