Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6510/232,1512/8900
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 6510,1512
Greatest Common Factor of Numerators i.e. GCF of 6510,1512 is 42 .
LCM of Denominators means LCM of 232,8900 as per the given fractions.
LCM of 232,8900 is 516200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6510,1512
2 | 6510, 1512 |
3 | 3255, 756 |
7 | 1085, 252 |
155, 36 |
∴ So the GCF of the given numbers is 2 x 3 x 7 = 42
Factors of 6510
List of positive integer factors of 6510 that divides 6510 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,31,35,42,62,70,93,105,155,186,210,217,310,434,465,651,930,1085,1302,2170,3255,6510
Factors of 1512
List of positive integer factors of 1512 that divides 1512 without a remainder.
1,2,3,4,6,7,8,9,12,14,18,21,24,27,28,36,42,54,56,63,72,84,108,126,168,189,216,252,378,504,756,1512
Greatest Common Factor
We found the factors 6510,1512 . The biggest common factor number is the GCF number.
So the greatest common factor 6510,1512 is 42.
Lets's calculate LCM of 232,8900
2 | 232, 8900 |
2 | 116, 4450 |
58, 2225 |
∴ So the LCM of the given numbers is 2 x 2 x 58 x 2225 = 516200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/516200
Therefore, the GCF of Fractions 6510/232,1512/8900 is 42/516200
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 232,8900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,8900) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(232,8900) x common factors =4 x 1 = 4
LCM(232,8900) = ( 232 × 8900 ) / 4
LCM(232,8900) = 2064800 / 4
LCM(232,8900) = 516200
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 6510/232, 1512/8900?
Answer: GCF of Numerators as per given numbers 6510/232, 1512/8900 is
GCF of Numerators i.e. for 6510,1512 is 42
LCM of denominators i.e. for 232,8900 is 516200.
Thus, GCF of Fractions is 42/516200.Finally, GCF of Fractions for 6510/232, 1512/8900 is 42/516200.