Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9822/173,1237/7947
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 9822,1237
Greatest Common Factor of Numerators i.e. GCF of 9822,1237 is 1 .
LCM of Denominators means LCM of 173,7947 as per the given fractions.
LCM of 173,7947 is 1374831 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9822,1237
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9822
List of positive integer factors of 9822 that divides 9822 without a remainder.
1,2,3,6,1637,3274,4911,9822
Factors of 1237
List of positive integer factors of 1237 that divides 1237 without a remainder.
1,1237
Greatest Common Factor
We found the factors 9822,1237 . The biggest common factor number is the GCF number.
So the greatest common factor 9822,1237 is 1.
Lets's calculate LCM of 173,7947
Given numbers has no common factors except 1. So, there LCM is their product i.e 1374831
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1374831
Therefore, the GCF of Fractions 9822/173,1237/7947 is 1/1374831
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 173,7947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,7947) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,7947) x common factors =1 x 1 = 1
LCM(173,7947) = ( 173 × 7947 ) / 1
LCM(173,7947) = 1374831 / 1
LCM(173,7947) = 1374831
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 9822/173, 1237/7947?
Answer: GCF of Numerators as per given numbers 9822/173, 1237/7947 is
GCF of Numerators i.e. for 9822,1237 is 1
LCM of denominators i.e. for 173,7947 is 1374831.
Thus, GCF of Fractions is 1/1374831.Finally, GCF of Fractions for 9822/173, 1237/7947 is 1/1374831.