Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 946/65,358/41,578/28
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 946,358,578
Greatest Common Factor of Numerators i.e. GCF of 946,358,578 is 2 .
LCM of Denominators means LCM of 65,41,28 as per the given fractions.
LCM of 65,41,28 is 74620 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 946,358,578
2 | 946, 358, 578 |
473, 179, 289 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Factors of 358
List of positive integer factors of 358 that divides 358 without a remainder.
1,2,179,358
Factors of 578
List of positive integer factors of 578 that divides 578 without a remainder.
1,2,17,34,289,578
Greatest Common Factor
We found the factors 946,358,578 . The biggest common factor number is the GCF number.
So the greatest common factor 946,358,578 is 2.
Lets's calculate LCM of 65,41,28
Given numbers has no common factors except 1. So, there LCM is their product i.e 74620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/74620
Therefore, the GCF of Fractions 946/65,358/41,578/28 is 2/74620
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 65,41,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,41,28) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,41,28) x common factors =1 x 1 = 1
LCM(65,41,28) = ( 65 × 41 × 28 ) / 1
LCM(65,41,28) = 74620 / 1
LCM(65,41,28) = 74620
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 946/65, 358/41, 578/28?
Answer: GCF of Numerators as per given numbers 946/65, 358/41, 578/28 is
GCF of Numerators i.e. for 946,358,578 is 2
LCM of denominators i.e. for 65,41,28 is 74620.
Thus, GCF of Fractions is 2/74620.Finally, GCF of Fractions for 946/65, 358/41, 578/28 is 2/74620.