Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 451/705,3153/6857
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 451,3153
Greatest Common Factor of Numerators i.e. GCF of 451,3153 is 1 .
LCM of Denominators means LCM of 705,6857 as per the given fractions.
LCM of 705,6857 is 4834185 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 451,3153
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 451
List of positive integer factors of 451 that divides 451 without a remainder.
1,11,41,451
Factors of 3153
List of positive integer factors of 3153 that divides 3153 without a remainder.
1,3,1051,3153
Greatest Common Factor
We found the factors 451,3153 . The biggest common factor number is the GCF number.
So the greatest common factor 451,3153 is 1.
Lets's calculate LCM of 705,6857
Given numbers has no common factors except 1. So, there LCM is their product i.e 4834185
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4834185
Therefore, the GCF of Fractions 451/705,3153/6857 is 1/4834185
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 705,6857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,6857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(705,6857) x common factors =1 x 1 = 1
LCM(705,6857) = ( 705 × 6857 ) / 1
LCM(705,6857) = 4834185 / 1
LCM(705,6857) = 4834185
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 451/705, 3153/6857?
Answer: GCF of Numerators as per given numbers 451/705, 3153/6857 is
GCF of Numerators i.e. for 451,3153 is 1
LCM of denominators i.e. for 705,6857 is 4834185.
Thus, GCF of Fractions is 1/4834185.Finally, GCF of Fractions for 451/705, 3153/6857 is 1/4834185.