Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8592/945,9764/4704
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 8592,9764
Greatest Common Factor of Numerators i.e. GCF of 8592,9764 is 4 .
LCM of Denominators means LCM of 945,4704 as per the given fractions.
LCM of 945,4704 is 211680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8592,9764
2 | 8592, 9764 |
2 | 4296, 4882 |
2148, 2441 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 8592
List of positive integer factors of 8592 that divides 8592 without a remainder.
1,2,3,4,6,8,12,16,24,48,179,358,537,716,1074,1432,2148,2864,4296,8592
Factors of 9764
List of positive integer factors of 9764 that divides 9764 without a remainder.
1,2,4,2441,4882,9764
Greatest Common Factor
We found the factors 8592,9764 . The biggest common factor number is the GCF number.
So the greatest common factor 8592,9764 is 4.
Lets's calculate LCM of 945,4704
3 | 945, 4704 |
7 | 315, 1568 |
45, 224 |
∴ So the LCM of the given numbers is 3 x 7 x 45 x 224 = 211680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/211680
Therefore, the GCF of Fractions 8592/945,9764/4704 is 4/211680
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 945,4704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(945,4704) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(945,4704) x common factors =21 x 1 = 21
LCM(945,4704) = ( 945 × 4704 ) / 21
LCM(945,4704) = 4445280 / 21
LCM(945,4704) = 211680
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 8592/945, 9764/4704?
Answer: GCF of Numerators as per given numbers 8592/945, 9764/4704 is
GCF of Numerators i.e. for 8592,9764 is 4
LCM of denominators i.e. for 945,4704 is 211680.
Thus, GCF of Fractions is 4/211680.Finally, GCF of Fractions for 8592/945, 9764/4704 is 4/211680.