Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 552/211,962/115
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 552,962
Greatest Common Factor of Numerators i.e. GCF of 552,962 is 2 .
LCM of Denominators means LCM of 211,115 as per the given fractions.
LCM of 211,115 is 24265 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 552,962
2 | 552, 962 |
276, 481 |
∴ So the GCF of the given numbers is 2 = 2
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 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
Greatest Common Factor
We found the factors 552,962 . The biggest common factor number is the GCF number.
So the greatest common factor 552,962 is 2.
Lets's calculate LCM of 211,115
Given numbers has no common factors except 1. So, there LCM is their product i.e 24265
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24265
Therefore, the GCF of Fractions 552/211,962/115 is 2/24265
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 211,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(211,115) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(211,115) x common factors =1 x 1 = 1
LCM(211,115) = ( 211 × 115 ) / 1
LCM(211,115) = 24265 / 1
LCM(211,115) = 24265
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 552/211, 962/115?
Answer: GCF of Numerators as per given numbers 552/211, 962/115 is
GCF of Numerators i.e. for 552,962 is 2
LCM of denominators i.e. for 211,115 is 24265.
Thus, GCF of Fractions is 2/24265.Finally, GCF of Fractions for 552/211, 962/115 is 2/24265.