Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9618/276,4560/4668
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 9618,4560
Greatest Common Factor of Numerators i.e. GCF of 9618,4560 is 6 .
LCM of Denominators means LCM of 276,4668 as per the given fractions.
LCM of 276,4668 is 107364 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9618,4560
2 | 9618, 4560 |
3 | 4809, 2280 |
1603, 760 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 9618
List of positive integer factors of 9618 that divides 9618 without a remainder.
1,2,3,6,7,14,21,42,229,458,687,1374,1603,3206,4809,9618
Factors of 4560
List of positive integer factors of 4560 that divides 4560 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,19,20,24,30,38,40,48,57,60,76,80,95,114,120,152,190,228,240,285,304,380,456,570,760,912,1140,1520,2280,4560
Greatest Common Factor
We found the factors 9618,4560 . The biggest common factor number is the GCF number.
So the greatest common factor 9618,4560 is 6.
Lets's calculate LCM of 276,4668
2 | 276, 4668 |
2 | 138, 2334 |
3 | 69, 1167 |
23, 389 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 389 = 107364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/107364
Therefore, the GCF of Fractions 9618/276,4560/4668 is 6/107364
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 276,4668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(276,4668) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(276,4668) x common factors =12 x 1 = 12
LCM(276,4668) = ( 276 × 4668 ) / 12
LCM(276,4668) = 1288368 / 12
LCM(276,4668) = 107364
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 9618/276, 4560/4668?
Answer: GCF of Numerators as per given numbers 9618/276, 4560/4668 is
GCF of Numerators i.e. for 9618,4560 is 6
LCM of denominators i.e. for 276,4668 is 107364.
Thus, GCF of Fractions is 6/107364.Finally, GCF of Fractions for 9618/276, 4560/4668 is 6/107364.