Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 282/89,406/64,754/609
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 282,406,754
Greatest Common Factor of Numerators i.e. GCF of 282,406,754 is 2 .
LCM of Denominators means LCM of 89,64,609 as per the given fractions.
LCM of 89,64,609 is 3468864 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 282,406,754
2 | 282, 406, 754 |
141, 203, 377 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 282
List of positive integer factors of 282 that divides 282 without a remainder.
1,2,3,6,47,94,141,282
Factors of 406
List of positive integer factors of 406 that divides 406 without a remainder.
1,2,7,14,29,58,203,406
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Greatest Common Factor
We found the factors 282,406,754 . The biggest common factor number is the GCF number.
So the greatest common factor 282,406,754 is 2.
Lets's calculate LCM of 89,64,609
Given numbers has no common factors except 1. So, there LCM is their product i.e 3468864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3468864
Therefore, the GCF of Fractions 282/89,406/64,754/609 is 2/3468864
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 89,64,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,64,609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,64,609) x common factors =1 x 1 = 1
LCM(89,64,609) = ( 89 × 64 × 609 ) / 1
LCM(89,64,609) = 3468864 / 1
LCM(89,64,609) = 3468864
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 282/89, 406/64, 754/609?
Answer: GCF of Numerators as per given numbers 282/89, 406/64, 754/609 is
GCF of Numerators i.e. for 282,406,754 is 2
LCM of denominators i.e. for 89,64,609 is 3468864.
Thus, GCF of Fractions is 2/3468864.Finally, GCF of Fractions for 282/89, 406/64, 754/609 is 2/3468864.