Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3944/607,6407/3846
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 3944,6407
Greatest Common Factor of Numerators i.e. GCF of 3944,6407 is 1 .
LCM of Denominators means LCM of 607,3846 as per the given fractions.
LCM of 607,3846 is 2334522 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3944,6407
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3944
List of positive integer factors of 3944 that divides 3944 without a remainder.
1,2,4,8,17,29,34,58,68,116,136,232,493,986,1972,3944
Factors of 6407
List of positive integer factors of 6407 that divides 6407 without a remainder.
1,43,149,6407
Greatest Common Factor
We found the factors 3944,6407 . The biggest common factor number is the GCF number.
So the greatest common factor 3944,6407 is 1.
Lets's calculate LCM of 607,3846
Given numbers has no common factors except 1. So, there LCM is their product i.e 2334522
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2334522
Therefore, the GCF of Fractions 3944/607,6407/3846 is 1/2334522
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 607,3846 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(607,3846) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(607,3846) x common factors =1 x 1 = 1
LCM(607,3846) = ( 607 × 3846 ) / 1
LCM(607,3846) = 2334522 / 1
LCM(607,3846) = 2334522
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 3944/607, 6407/3846?
Answer: GCF of Numerators as per given numbers 3944/607, 6407/3846 is
GCF of Numerators i.e. for 3944,6407 is 1
LCM of denominators i.e. for 607,3846 is 2334522.
Thus, GCF of Fractions is 1/2334522.Finally, GCF of Fractions for 3944/607, 6407/3846 is 1/2334522.