Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5219/933,4176/7228
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 5219,4176
Greatest Common Factor of Numerators i.e. GCF of 5219,4176 is 1 .
LCM of Denominators means LCM of 933,7228 as per the given fractions.
LCM of 933,7228 is 6743724 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5219,4176
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5219
List of positive integer factors of 5219 that divides 5219 without a remainder.
1,17,307,5219
Factors of 4176
List of positive integer factors of 4176 that divides 4176 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,29,36,48,58,72,87,116,144,174,232,261,348,464,522,696,1044,1392,2088,4176
Greatest Common Factor
We found the factors 5219,4176 . The biggest common factor number is the GCF number.
So the greatest common factor 5219,4176 is 1.
Lets's calculate LCM of 933,7228
Given numbers has no common factors except 1. So, there LCM is their product i.e 6743724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6743724
Therefore, the GCF of Fractions 5219/933,4176/7228 is 1/6743724
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 933,7228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,7228) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(933,7228) x common factors =1 x 1 = 1
LCM(933,7228) = ( 933 × 7228 ) / 1
LCM(933,7228) = 6743724 / 1
LCM(933,7228) = 6743724
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 5219/933, 4176/7228?
Answer: GCF of Numerators as per given numbers 5219/933, 4176/7228 is
GCF of Numerators i.e. for 5219,4176 is 1
LCM of denominators i.e. for 933,7228 is 6743724.
Thus, GCF of Fractions is 1/6743724.Finally, GCF of Fractions for 5219/933, 4176/7228 is 1/6743724.