Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 627/231,253/562
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 627,253
Greatest Common Factor of Numerators i.e. GCF of 627,253 is 11 .
LCM of Denominators means LCM of 231,562 as per the given fractions.
LCM of 231,562 is 129822 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 627,253
11 | 627, 253 |
57, 23 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 627
List of positive integer factors of 627 that divides 627 without a remainder.
1,3,11,19,33,57,209,627
Factors of 253
List of positive integer factors of 253 that divides 253 without a remainder.
1,11,23,253
Greatest Common Factor
We found the factors 627,253 . The biggest common factor number is the GCF number.
So the greatest common factor 627,253 is 11.
Lets's calculate LCM of 231,562
Given numbers has no common factors except 1. So, there LCM is their product i.e 129822
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/129822
Therefore, the GCF of Fractions 627/231,253/562 is 11/129822
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 231,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,562) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(231,562) x common factors =1 x 1 = 1
LCM(231,562) = ( 231 × 562 ) / 1
LCM(231,562) = 129822 / 1
LCM(231,562) = 129822
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 627/231, 253/562?
Answer: GCF of Numerators as per given numbers 627/231, 253/562 is
GCF of Numerators i.e. for 627,253 is 11
LCM of denominators i.e. for 231,562 is 129822.
Thus, GCF of Fractions is 11/129822.Finally, GCF of Fractions for 627/231, 253/562 is 11/129822.