Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5088/77,8209/834
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 5088,8209
Greatest Common Factor of Numerators i.e. GCF of 5088,8209 is 1 .
LCM of Denominators means LCM of 77,834 as per the given fractions.
LCM of 77,834 is 64218 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5088,8209
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5088
List of positive integer factors of 5088 that divides 5088 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,53,96,106,159,212,318,424,636,848,1272,1696,2544,5088
Factors of 8209
List of positive integer factors of 8209 that divides 8209 without a remainder.
1,8209
Greatest Common Factor
We found the factors 5088,8209 . The biggest common factor number is the GCF number.
So the greatest common factor 5088,8209 is 1.
Lets's calculate LCM of 77,834
Given numbers has no common factors except 1. So, there LCM is their product i.e 64218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64218
Therefore, the GCF of Fractions 5088/77,8209/834 is 1/64218
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 77,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,834) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,834) x common factors =1 x 1 = 1
LCM(77,834) = ( 77 × 834 ) / 1
LCM(77,834) = 64218 / 1
LCM(77,834) = 64218
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 5088/77, 8209/834?
Answer: GCF of Numerators as per given numbers 5088/77, 8209/834 is
GCF of Numerators i.e. for 5088,8209 is 1
LCM of denominators i.e. for 77,834 is 64218.
Thus, GCF of Fractions is 1/64218.Finally, GCF of Fractions for 5088/77, 8209/834 is 1/64218.