Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6760/455,9959/5207
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 6760,9959
Greatest Common Factor of Numerators i.e. GCF of 6760,9959 is 1 .
LCM of Denominators means LCM of 455,5207 as per the given fractions.
LCM of 455,5207 is 2369185 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6760,9959
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6760
List of positive integer factors of 6760 that divides 6760 without a remainder.
1,2,4,5,8,10,13,20,26,40,52,65,104,130,169,260,338,520,676,845,1352,1690,3380,6760
Factors of 9959
List of positive integer factors of 9959 that divides 9959 without a remainder.
1,23,433,9959
Greatest Common Factor
We found the factors 6760,9959 . The biggest common factor number is the GCF number.
So the greatest common factor 6760,9959 is 1.
Lets's calculate LCM of 455,5207
Given numbers has no common factors except 1. So, there LCM is their product i.e 2369185
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2369185
Therefore, the GCF of Fractions 6760/455,9959/5207 is 1/2369185
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 455,5207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(455,5207) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(455,5207) x common factors =1 x 1 = 1
LCM(455,5207) = ( 455 × 5207 ) / 1
LCM(455,5207) = 2369185 / 1
LCM(455,5207) = 2369185
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 6760/455, 9959/5207?
Answer: GCF of Numerators as per given numbers 6760/455, 9959/5207 is
GCF of Numerators i.e. for 6760,9959 is 1
LCM of denominators i.e. for 455,5207 is 2369185.
Thus, GCF of Fractions is 1/2369185.Finally, GCF of Fractions for 6760/455, 9959/5207 is 1/2369185.