Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 703/240,2501/5501
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 703,2501
Greatest Common Factor of Numerators i.e. GCF of 703,2501 is 1 .
LCM of Denominators means LCM of 240,5501 as per the given fractions.
LCM of 240,5501 is 1320240 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 703,2501
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1,19,37,703
Factors of 2501
List of positive integer factors of 2501 that divides 2501 without a remainder.
1,41,61,2501
Greatest Common Factor
We found the factors 703,2501 . The biggest common factor number is the GCF number.
So the greatest common factor 703,2501 is 1.
Lets's calculate LCM of 240,5501
Given numbers has no common factors except 1. So, there LCM is their product i.e 1320240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1320240
Therefore, the GCF of Fractions 703/240,2501/5501 is 1/1320240
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 240,5501 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,5501) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(240,5501) x common factors =1 x 1 = 1
LCM(240,5501) = ( 240 × 5501 ) / 1
LCM(240,5501) = 1320240 / 1
LCM(240,5501) = 1320240
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 703/240, 2501/5501?
Answer: GCF of Numerators as per given numbers 703/240, 2501/5501 is
GCF of Numerators i.e. for 703,2501 is 1
LCM of denominators i.e. for 240,5501 is 1320240.
Thus, GCF of Fractions is 1/1320240.Finally, GCF of Fractions for 703/240, 2501/5501 is 1/1320240.