Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 952/44,942/9477
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 952,942
Greatest Common Factor of Numerators i.e. GCF of 952,942 is 2 .
LCM of Denominators means LCM of 44,9477 as per the given fractions.
LCM of 44,9477 is 416988 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 952,942
2 | 952, 942 |
476, 471 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Greatest Common Factor
We found the factors 952,942 . The biggest common factor number is the GCF number.
So the greatest common factor 952,942 is 2.
Lets's calculate LCM of 44,9477
Given numbers has no common factors except 1. So, there LCM is their product i.e 416988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/416988
Therefore, the GCF of Fractions 952/44,942/9477 is 2/416988
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 44,9477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,9477) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,9477) x common factors =1 x 1 = 1
LCM(44,9477) = ( 44 × 9477 ) / 1
LCM(44,9477) = 416988 / 1
LCM(44,9477) = 416988
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 952/44, 942/9477?
Answer: GCF of Numerators as per given numbers 952/44, 942/9477 is
GCF of Numerators i.e. for 952,942 is 2
LCM of denominators i.e. for 44,9477 is 416988.
Thus, GCF of Fractions is 2/416988.Finally, GCF of Fractions for 952/44, 942/9477 is 2/416988.