Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 552/212,1464/119
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 552,1464
Greatest Common Factor of Numerators i.e. GCF of 552,1464 is 24 .
LCM of Denominators means LCM of 212,119 as per the given fractions.
LCM of 212,119 is 25228 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 552,1464
2 | 552, 1464 |
2 | 276, 732 |
2 | 138, 366 |
3 | 69, 183 |
23, 61 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Factors of 1464
List of positive integer factors of 1464 that divides 1464 without a remainder.
1,2,3,4,6,8,12,24,61,122,183,244,366,488,732,1464
Greatest Common Factor
We found the factors 552,1464 . The biggest common factor number is the GCF number.
So the greatest common factor 552,1464 is 24.
Lets's calculate LCM of 212,119
Given numbers has no common factors except 1. So, there LCM is their product i.e 25228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/25228
Therefore, the GCF of Fractions 552/212,1464/119 is 24/25228
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 212,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,119) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(212,119) x common factors =1 x 1 = 1
LCM(212,119) = ( 212 × 119 ) / 1
LCM(212,119) = 25228 / 1
LCM(212,119) = 25228
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 552/212, 1464/119?
Answer: GCF of Numerators as per given numbers 552/212, 1464/119 is
GCF of Numerators i.e. for 552,1464 is 24
LCM of denominators i.e. for 212,119 is 25228.
Thus, GCF of Fractions is 24/25228.Finally, GCF of Fractions for 552/212, 1464/119 is 24/25228.