Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7953/531,5243/2934
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 7953,5243
Greatest Common Factor of Numerators i.e. GCF of 7953,5243 is 1 .
LCM of Denominators means LCM of 531,2934 as per the given fractions.
LCM of 531,2934 is 173106 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7953,5243
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7953
List of positive integer factors of 7953 that divides 7953 without a remainder.
1,3,11,33,241,723,2651,7953
Factors of 5243
List of positive integer factors of 5243 that divides 5243 without a remainder.
1,7,49,107,749,5243
Greatest Common Factor
We found the factors 7953,5243 . The biggest common factor number is the GCF number.
So the greatest common factor 7953,5243 is 1.
Lets's calculate LCM of 531,2934
3 | 531, 2934 |
3 | 177, 978 |
59, 326 |
∴ So the LCM of the given numbers is 3 x 3 x 59 x 326 = 173106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173106
Therefore, the GCF of Fractions 7953/531,5243/2934 is 1/173106
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 531,2934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(531,2934) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(531,2934) x common factors =9 x 1 = 9
LCM(531,2934) = ( 531 × 2934 ) / 9
LCM(531,2934) = 1557954 / 9
LCM(531,2934) = 173106
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 7953/531, 5243/2934?
Answer: GCF of Numerators as per given numbers 7953/531, 5243/2934 is
GCF of Numerators i.e. for 7953,5243 is 1
LCM of denominators i.e. for 531,2934 is 173106.
Thus, GCF of Fractions is 1/173106.Finally, GCF of Fractions for 7953/531, 5243/2934 is 1/173106.