Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5209/495,1222/2581
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 5209,1222
Greatest Common Factor of Numerators i.e. GCF of 5209,1222 is 1 .
LCM of Denominators means LCM of 495,2581 as per the given fractions.
LCM of 495,2581 is 1277595 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5209,1222
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5209
List of positive integer factors of 5209 that divides 5209 without a remainder.
1,5209
Factors of 1222
List of positive integer factors of 1222 that divides 1222 without a remainder.
1,2,13,26,47,94,611,1222
Greatest Common Factor
We found the factors 5209,1222 . The biggest common factor number is the GCF number.
So the greatest common factor 5209,1222 is 1.
Lets's calculate LCM of 495,2581
Given numbers has no common factors except 1. So, there LCM is their product i.e 1277595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1277595
Therefore, the GCF of Fractions 5209/495,1222/2581 is 1/1277595
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 495,2581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(495,2581) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(495,2581) x common factors =1 x 1 = 1
LCM(495,2581) = ( 495 × 2581 ) / 1
LCM(495,2581) = 1277595 / 1
LCM(495,2581) = 1277595
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 5209/495, 1222/2581?
Answer: GCF of Numerators as per given numbers 5209/495, 1222/2581 is
GCF of Numerators i.e. for 5209,1222 is 1
LCM of denominators i.e. for 495,2581 is 1277595.
Thus, GCF of Fractions is 1/1277595.Finally, GCF of Fractions for 5209/495, 1222/2581 is 1/1277595.