Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 66/651,315/560,468/196
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 66,315,468
Greatest Common Factor of Numerators i.e. GCF of 66,315,468 is 3 .
LCM of Denominators means LCM of 651,560,196 as per the given fractions.
LCM of 651,560,196 is 364560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 66,315,468
3 | 66, 315, 468 |
22, 105, 156 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 315
List of positive integer factors of 315 that divides 315 without a remainder.
1,3,5,7,9,15,21,35,45,63,105,315
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Greatest Common Factor
We found the factors 66,315,468 . The biggest common factor number is the GCF number.
So the greatest common factor 66,315,468 is 3.
Lets's calculate LCM of 651,560,196
2 | 651, 560, 196 |
2 | 651, 280, 98 |
7 | 651, 140, 49 |
93, 20, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 93 x 20 x 7 = 364560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/364560
Therefore, the GCF of Fractions 66/651,315/560,468/196 is 3/364560
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 651,560,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,560,196) = 7
common factors(in case of two or more numbers have common factors) = 28
GCF(651,560,196) x common factors =7 x 28 = 196
LCM(651,560,196) = ( 651 × 560 × 196 ) / 196
LCM(651,560,196) = 71453760 / 196
LCM(651,560,196) = 364560
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 66/651, 315/560, 468/196?
Answer: GCF of Numerators as per given numbers 66/651, 315/560, 468/196 is
GCF of Numerators i.e. for 66,315,468 is 3
LCM of denominators i.e. for 651,560,196 is 364560.
Thus, GCF of Fractions is 3/364560.Finally, GCF of Fractions for 66/651, 315/560, 468/196 is 3/364560.