Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1488/63,3270/318
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 1488,3270
Greatest Common Factor of Numerators i.e. GCF of 1488,3270 is 6 .
LCM of Denominators means LCM of 63,318 as per the given fractions.
LCM of 63,318 is 6678 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1488,3270
2 | 1488, 3270 |
3 | 744, 1635 |
248, 545 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 1488
List of positive integer factors of 1488 that divides 1488 without a remainder.
1,2,3,4,6,8,12,16,24,31,48,62,93,124,186,248,372,496,744,1488
Factors of 3270
List of positive integer factors of 3270 that divides 3270 without a remainder.
1,2,3,5,6,10,15,30,109,218,327,545,654,1090,1635,3270
Greatest Common Factor
We found the factors 1488,3270 . The biggest common factor number is the GCF number.
So the greatest common factor 1488,3270 is 6.
Lets's calculate LCM of 63,318
3 | 63, 318 |
21, 106 |
∴ So the LCM of the given numbers is 3 x 21 x 106 = 6678
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/6678
Therefore, the GCF of Fractions 1488/63,3270/318 is 6/6678
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 63,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,318) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(63,318) x common factors =3 x 1 = 3
LCM(63,318) = ( 63 × 318 ) / 3
LCM(63,318) = 20034 / 3
LCM(63,318) = 6678
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 1488/63, 3270/318?
Answer: GCF of Numerators as per given numbers 1488/63, 3270/318 is
GCF of Numerators i.e. for 1488,3270 is 6
LCM of denominators i.e. for 63,318 is 6678.
Thus, GCF of Fractions is 6/6678.Finally, GCF of Fractions for 1488/63, 3270/318 is 6/6678.