Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3929/173,7052/384
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 3929,7052
Greatest Common Factor of Numerators i.e. GCF of 3929,7052 is 1 .
LCM of Denominators means LCM of 173,384 as per the given fractions.
LCM of 173,384 is 66432 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3929,7052
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3929
List of positive integer factors of 3929 that divides 3929 without a remainder.
1,3929
Factors of 7052
List of positive integer factors of 7052 that divides 7052 without a remainder.
1,2,4,41,43,82,86,164,172,1763,3526,7052
Greatest Common Factor
We found the factors 3929,7052 . The biggest common factor number is the GCF number.
So the greatest common factor 3929,7052 is 1.
Lets's calculate LCM of 173,384
Given numbers has no common factors except 1. So, there LCM is their product i.e 66432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66432
Therefore, the GCF of Fractions 3929/173,7052/384 is 1/66432
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 173,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,384) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,384) x common factors =1 x 1 = 1
LCM(173,384) = ( 173 × 384 ) / 1
LCM(173,384) = 66432 / 1
LCM(173,384) = 66432
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 3929/173, 7052/384?
Answer: GCF of Numerators as per given numbers 3929/173, 7052/384 is
GCF of Numerators i.e. for 3929,7052 is 1
LCM of denominators i.e. for 173,384 is 66432.
Thus, GCF of Fractions is 1/66432.Finally, GCF of Fractions for 3929/173, 7052/384 is 1/66432.