Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6700/524,9914/6946
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 6700,9914
Greatest Common Factor of Numerators i.e. GCF of 6700,9914 is 2 .
LCM of Denominators means LCM of 524,6946 as per the given fractions.
LCM of 524,6946 is 1819852 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6700,9914
2 | 6700, 9914 |
3350, 4957 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6700
List of positive integer factors of 6700 that divides 6700 without a remainder.
1,2,4,5,10,20,25,50,67,100,134,268,335,670,1340,1675,3350,6700
Factors of 9914
List of positive integer factors of 9914 that divides 9914 without a remainder.
1,2,4957,9914
Greatest Common Factor
We found the factors 6700,9914 . The biggest common factor number is the GCF number.
So the greatest common factor 6700,9914 is 2.
Lets's calculate LCM of 524,6946
2 | 524, 6946 |
262, 3473 |
∴ So the LCM of the given numbers is 2 x 262 x 3473 = 1819852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1819852
Therefore, the GCF of Fractions 6700/524,9914/6946 is 2/1819852
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 524,6946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(524,6946) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(524,6946) x common factors =2 x 1 = 2
LCM(524,6946) = ( 524 × 6946 ) / 2
LCM(524,6946) = 3639704 / 2
LCM(524,6946) = 1819852
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 6700/524, 9914/6946?
Answer: GCF of Numerators as per given numbers 6700/524, 9914/6946 is
GCF of Numerators i.e. for 6700,9914 is 2
LCM of denominators i.e. for 524,6946 is 1819852.
Thus, GCF of Fractions is 2/1819852.Finally, GCF of Fractions for 6700/524, 9914/6946 is 2/1819852.