Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9537/266,7616/9532
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 9537,7616
Greatest Common Factor of Numerators i.e. GCF of 9537,7616 is 17 .
LCM of Denominators means LCM of 266,9532 as per the given fractions.
LCM of 266,9532 is 1267756 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9537,7616
17 | 9537, 7616 |
561, 448 |
∴ So the GCF of the given numbers is 17 = 17
Factors of 9537
List of positive integer factors of 9537 that divides 9537 without a remainder.
1,3,11,17,33,51,187,289,561,867,3179,9537
Factors of 7616
List of positive integer factors of 7616 that divides 7616 without a remainder.
1,2,4,7,8,14,16,17,28,32,34,56,64,68,112,119,136,224,238,272,448,476,544,952,1088,1904,3808,7616
Greatest Common Factor
We found the factors 9537,7616 . The biggest common factor number is the GCF number.
So the greatest common factor 9537,7616 is 17.
Lets's calculate LCM of 266,9532
2 | 266, 9532 |
133, 4766 |
∴ So the LCM of the given numbers is 2 x 133 x 4766 = 1267756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/1267756
Therefore, the GCF of Fractions 9537/266,7616/9532 is 17/1267756
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 266,9532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,9532) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(266,9532) x common factors =2 x 1 = 2
LCM(266,9532) = ( 266 × 9532 ) / 2
LCM(266,9532) = 2535512 / 2
LCM(266,9532) = 1267756
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 9537/266, 7616/9532?
Answer: GCF of Numerators as per given numbers 9537/266, 7616/9532 is
GCF of Numerators i.e. for 9537,7616 is 17
LCM of denominators i.e. for 266,9532 is 1267756.
Thus, GCF of Fractions is 17/1267756.Finally, GCF of Fractions for 9537/266, 7616/9532 is 17/1267756.