Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1404/36,7973/726
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 1404,7973
Greatest Common Factor of Numerators i.e. GCF of 1404,7973 is 1 .
LCM of Denominators means LCM of 36,726 as per the given fractions.
LCM of 36,726 is 4356 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1404,7973
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1404
List of positive integer factors of 1404 that divides 1404 without a remainder.
1,2,3,4,6,9,12,13,18,26,27,36,39,52,54,78,108,117,156,234,351,468,702,1404
Factors of 7973
List of positive integer factors of 7973 that divides 7973 without a remainder.
1,7,17,67,119,469,1139,7973
Greatest Common Factor
We found the factors 1404,7973 . The biggest common factor number is the GCF number.
So the greatest common factor 1404,7973 is 1.
Lets's calculate LCM of 36,726
2 | 36, 726 |
3 | 18, 363 |
6, 121 |
∴ So the LCM of the given numbers is 2 x 3 x 6 x 121 = 4356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4356
Therefore, the GCF of Fractions 1404/36,7973/726 is 1/4356
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 36,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,726) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(36,726) x common factors =6 x 1 = 6
LCM(36,726) = ( 36 × 726 ) / 6
LCM(36,726) = 26136 / 6
LCM(36,726) = 4356
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 1404/36, 7973/726?
Answer: GCF of Numerators as per given numbers 1404/36, 7973/726 is
GCF of Numerators i.e. for 1404,7973 is 1
LCM of denominators i.e. for 36,726 is 4356.
Thus, GCF of Fractions is 1/4356.Finally, GCF of Fractions for 1404/36, 7973/726 is 1/4356.