Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9207/729,2534/7677
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 9207,2534
Greatest Common Factor of Numerators i.e. GCF of 9207,2534 is 1 .
LCM of Denominators means LCM of 729,7677 as per the given fractions.
LCM of 729,7677 is 621837 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9207,2534
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9207
List of positive integer factors of 9207 that divides 9207 without a remainder.
1,3,9,11,27,31,33,93,99,279,297,341,837,1023,3069,9207
Factors of 2534
List of positive integer factors of 2534 that divides 2534 without a remainder.
1,2,7,14,181,362,1267,2534
Greatest Common Factor
We found the factors 9207,2534 . The biggest common factor number is the GCF number.
So the greatest common factor 9207,2534 is 1.
Lets's calculate LCM of 729,7677
3 | 729, 7677 |
3 | 243, 2559 |
81, 853 |
∴ So the LCM of the given numbers is 3 x 3 x 81 x 853 = 621837
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/621837
Therefore, the GCF of Fractions 9207/729,2534/7677 is 1/621837
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 729,7677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,7677) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(729,7677) x common factors =9 x 1 = 9
LCM(729,7677) = ( 729 × 7677 ) / 9
LCM(729,7677) = 5596533 / 9
LCM(729,7677) = 621837
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 9207/729, 2534/7677?
Answer: GCF of Numerators as per given numbers 9207/729, 2534/7677 is
GCF of Numerators i.e. for 9207,2534 is 1
LCM of denominators i.e. for 729,7677 is 621837.
Thus, GCF of Fractions is 1/621837.Finally, GCF of Fractions for 9207/729, 2534/7677 is 1/621837.