Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8698/79,7152/923
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 8698,7152
Greatest Common Factor of Numerators i.e. GCF of 8698,7152 is 2 .
LCM of Denominators means LCM of 79,923 as per the given fractions.
LCM of 79,923 is 72917 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8698,7152
2 | 8698, 7152 |
4349, 3576 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8698
List of positive integer factors of 8698 that divides 8698 without a remainder.
1,2,4349,8698
Factors of 7152
List of positive integer factors of 7152 that divides 7152 without a remainder.
1,2,3,4,6,8,12,16,24,48,149,298,447,596,894,1192,1788,2384,3576,7152
Greatest Common Factor
We found the factors 8698,7152 . The biggest common factor number is the GCF number.
So the greatest common factor 8698,7152 is 2.
Lets's calculate LCM of 79,923
Given numbers has no common factors except 1. So, there LCM is their product i.e 72917
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/72917
Therefore, the GCF of Fractions 8698/79,7152/923 is 2/72917
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 79,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,923) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,923) x common factors =1 x 1 = 1
LCM(79,923) = ( 79 × 923 ) / 1
LCM(79,923) = 72917 / 1
LCM(79,923) = 72917
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 8698/79, 7152/923?
Answer: GCF of Numerators as per given numbers 8698/79, 7152/923 is
GCF of Numerators i.e. for 8698,7152 is 2
LCM of denominators i.e. for 79,923 is 72917.
Thus, GCF of Fractions is 2/72917.Finally, GCF of Fractions for 8698/79, 7152/923 is 2/72917.