Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4629/713,7058/5810
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 4629,7058
Greatest Common Factor of Numerators i.e. GCF of 4629,7058 is 1 .
LCM of Denominators means LCM of 713,5810 as per the given fractions.
LCM of 713,5810 is 4142530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4629,7058
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4629
List of positive integer factors of 4629 that divides 4629 without a remainder.
1,3,1543,4629
Factors of 7058
List of positive integer factors of 7058 that divides 7058 without a remainder.
1,2,3529,7058
Greatest Common Factor
We found the factors 4629,7058 . The biggest common factor number is the GCF number.
So the greatest common factor 4629,7058 is 1.
Lets's calculate LCM of 713,5810
Given numbers has no common factors except 1. So, there LCM is their product i.e 4142530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4142530
Therefore, the GCF of Fractions 4629/713,7058/5810 is 1/4142530
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 713,5810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(713,5810) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(713,5810) x common factors =1 x 1 = 1
LCM(713,5810) = ( 713 × 5810 ) / 1
LCM(713,5810) = 4142530 / 1
LCM(713,5810) = 4142530
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 4629/713, 7058/5810?
Answer: GCF of Numerators as per given numbers 4629/713, 7058/5810 is
GCF of Numerators i.e. for 4629,7058 is 1
LCM of denominators i.e. for 713,5810 is 4142530.
Thus, GCF of Fractions is 1/4142530.Finally, GCF of Fractions for 4629/713, 7058/5810 is 1/4142530.