Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 992/63,465/2348
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 992,465
Greatest Common Factor of Numerators i.e. GCF of 992,465 is 31 .
LCM of Denominators means LCM of 63,2348 as per the given fractions.
LCM of 63,2348 is 147924 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 992,465
31 | 992, 465 |
32, 15 |
∴ So the GCF of the given numbers is 31 = 31
Factors of 992
List of positive integer factors of 992 that divides 992 without a remainder.
1,2,4,8,16,31,32,62,124,248,496,992
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Greatest Common Factor
We found the factors 992,465 . The biggest common factor number is the GCF number.
So the greatest common factor 992,465 is 31.
Lets's calculate LCM of 63,2348
Given numbers has no common factors except 1. So, there LCM is their product i.e 147924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/147924
Therefore, the GCF of Fractions 992/63,465/2348 is 31/147924
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 63,2348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,2348) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,2348) x common factors =1 x 1 = 1
LCM(63,2348) = ( 63 × 2348 ) / 1
LCM(63,2348) = 147924 / 1
LCM(63,2348) = 147924
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 992/63, 465/2348?
Answer: GCF of Numerators as per given numbers 992/63, 465/2348 is
GCF of Numerators i.e. for 992,465 is 31
LCM of denominators i.e. for 63,2348 is 147924.
Thus, GCF of Fractions is 31/147924.Finally, GCF of Fractions for 992/63, 465/2348 is 31/147924.