Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3537/551,2507/463
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 3537,2507
Greatest Common Factor of Numerators i.e. GCF of 3537,2507 is 1 .
LCM of Denominators means LCM of 551,463 as per the given fractions.
LCM of 551,463 is 255113 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3537,2507
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3537
List of positive integer factors of 3537 that divides 3537 without a remainder.
1,3,9,27,131,393,1179,3537
Factors of 2507
List of positive integer factors of 2507 that divides 2507 without a remainder.
1,23,109,2507
Greatest Common Factor
We found the factors 3537,2507 . The biggest common factor number is the GCF number.
So the greatest common factor 3537,2507 is 1.
Lets's calculate LCM of 551,463
Given numbers has no common factors except 1. So, there LCM is their product i.e 255113
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/255113
Therefore, the GCF of Fractions 3537/551,2507/463 is 1/255113
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 551,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(551,463) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(551,463) x common factors =1 x 1 = 1
LCM(551,463) = ( 551 × 463 ) / 1
LCM(551,463) = 255113 / 1
LCM(551,463) = 255113
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 3537/551, 2507/463?
Answer: GCF of Numerators as per given numbers 3537/551, 2507/463 is
GCF of Numerators i.e. for 3537,2507 is 1
LCM of denominators i.e. for 551,463 is 255113.
Thus, GCF of Fractions is 1/255113.Finally, GCF of Fractions for 3537/551, 2507/463 is 1/255113.