Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2526/244,4754/721
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 2526,4754
Greatest Common Factor of Numerators i.e. GCF of 2526,4754 is 2 .
LCM of Denominators means LCM of 244,721 as per the given fractions.
LCM of 244,721 is 175924 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2526,4754
2 | 2526, 4754 |
1263, 2377 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2526
List of positive integer factors of 2526 that divides 2526 without a remainder.
1,2,3,6,421,842,1263,2526
Factors of 4754
List of positive integer factors of 4754 that divides 4754 without a remainder.
1,2,2377,4754
Greatest Common Factor
We found the factors 2526,4754 . The biggest common factor number is the GCF number.
So the greatest common factor 2526,4754 is 2.
Lets's calculate LCM of 244,721
Given numbers has no common factors except 1. So, there LCM is their product i.e 175924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/175924
Therefore, the GCF of Fractions 2526/244,4754/721 is 2/175924
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 244,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(244,721) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(244,721) x common factors =1 x 1 = 1
LCM(244,721) = ( 244 × 721 ) / 1
LCM(244,721) = 175924 / 1
LCM(244,721) = 175924
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 2526/244, 4754/721?
Answer: GCF of Numerators as per given numbers 2526/244, 4754/721 is
GCF of Numerators i.e. for 2526,4754 is 2
LCM of denominators i.e. for 244,721 is 175924.
Thus, GCF of Fractions is 2/175924.Finally, GCF of Fractions for 2526/244, 4754/721 is 2/175924.