Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 554/416,1836/431
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 554,1836
Greatest Common Factor of Numerators i.e. GCF of 554,1836 is 2 .
LCM of Denominators means LCM of 416,431 as per the given fractions.
LCM of 416,431 is 179296 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 554,1836
2 | 554, 1836 |
277, 918 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Factors of 1836
List of positive integer factors of 1836 that divides 1836 without a remainder.
1,2,3,4,6,9,12,17,18,27,34,36,51,54,68,102,108,153,204,306,459,612,918,1836
Greatest Common Factor
We found the factors 554,1836 . The biggest common factor number is the GCF number.
So the greatest common factor 554,1836 is 2.
Lets's calculate LCM of 416,431
Given numbers has no common factors except 1. So, there LCM is their product i.e 179296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/179296
Therefore, the GCF of Fractions 554/416,1836/431 is 2/179296
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 416,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(416,431) x common factors =1 x 1 = 1
LCM(416,431) = ( 416 × 431 ) / 1
LCM(416,431) = 179296 / 1
LCM(416,431) = 179296
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 554/416, 1836/431?
Answer: GCF of Numerators as per given numbers 554/416, 1836/431 is
GCF of Numerators i.e. for 554,1836 is 2
LCM of denominators i.e. for 416,431 is 179296.
Thus, GCF of Fractions is 2/179296.Finally, GCF of Fractions for 554/416, 1836/431 is 2/179296.