Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 978/63,352/3252
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 978,352
Greatest Common Factor of Numerators i.e. GCF of 978,352 is 2 .
LCM of Denominators means LCM of 63,3252 as per the given fractions.
LCM of 63,3252 is 68292 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 978,352
2 | 978, 352 |
489, 176 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 978
List of positive integer factors of 978 that divides 978 without a remainder.
1,2,3,6,163,326,489,978
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Greatest Common Factor
We found the factors 978,352 . The biggest common factor number is the GCF number.
So the greatest common factor 978,352 is 2.
Lets's calculate LCM of 63,3252
3 | 63, 3252 |
21, 1084 |
∴ So the LCM of the given numbers is 3 x 21 x 1084 = 68292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/68292
Therefore, the GCF of Fractions 978/63,352/3252 is 2/68292
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 63,3252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,3252) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(63,3252) x common factors =3 x 1 = 3
LCM(63,3252) = ( 63 × 3252 ) / 3
LCM(63,3252) = 204876 / 3
LCM(63,3252) = 68292
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 978/63, 352/3252?
Answer: GCF of Numerators as per given numbers 978/63, 352/3252 is
GCF of Numerators i.e. for 978,352 is 2
LCM of denominators i.e. for 63,3252 is 68292.
Thus, GCF of Fractions is 2/68292.Finally, GCF of Fractions for 978/63, 352/3252 is 2/68292.