Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3951/693,6083/8725
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 3951,6083
Greatest Common Factor of Numerators i.e. GCF of 3951,6083 is 1 .
LCM of Denominators means LCM of 693,8725 as per the given fractions.
LCM of 693,8725 is 6046425 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3951,6083
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3951
List of positive integer factors of 3951 that divides 3951 without a remainder.
1,3,9,439,1317,3951
Factors of 6083
List of positive integer factors of 6083 that divides 6083 without a remainder.
1,7,11,77,79,553,869,6083
Greatest Common Factor
We found the factors 3951,6083 . The biggest common factor number is the GCF number.
So the greatest common factor 3951,6083 is 1.
Lets's calculate LCM of 693,8725
Given numbers has no common factors except 1. So, there LCM is their product i.e 6046425
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6046425
Therefore, the GCF of Fractions 3951/693,6083/8725 is 1/6046425
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 693,8725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(693,8725) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(693,8725) x common factors =1 x 1 = 1
LCM(693,8725) = ( 693 × 8725 ) / 1
LCM(693,8725) = 6046425 / 1
LCM(693,8725) = 6046425
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 3951/693, 6083/8725?
Answer: GCF of Numerators as per given numbers 3951/693, 6083/8725 is
GCF of Numerators i.e. for 3951,6083 is 1
LCM of denominators i.e. for 693,8725 is 6046425.
Thus, GCF of Fractions is 1/6046425.Finally, GCF of Fractions for 3951/693, 6083/8725 is 1/6046425.