Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 564/823,174/470
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 564,174
Greatest Common Factor of Numerators i.e. GCF of 564,174 is 6 .
LCM of Denominators means LCM of 823,470 as per the given fractions.
LCM of 823,470 is 386810 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 564,174
2 | 564, 174 |
3 | 282, 87 |
94, 29 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 564
List of positive integer factors of 564 that divides 564 without a remainder.
1,2,3,4,6,12,47,94,141,188,282,564
Factors of 174
List of positive integer factors of 174 that divides 174 without a remainder.
1,2,3,6,29,58,87,174
Greatest Common Factor
We found the factors 564,174 . The biggest common factor number is the GCF number.
So the greatest common factor 564,174 is 6.
Lets's calculate LCM of 823,470
Given numbers has no common factors except 1. So, there LCM is their product i.e 386810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/386810
Therefore, the GCF of Fractions 564/823,174/470 is 6/386810
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 823,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(823,470) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(823,470) x common factors =1 x 1 = 1
LCM(823,470) = ( 823 × 470 ) / 1
LCM(823,470) = 386810 / 1
LCM(823,470) = 386810
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 564/823, 174/470?
Answer: GCF of Numerators as per given numbers 564/823, 174/470 is
GCF of Numerators i.e. for 564,174 is 6
LCM of denominators i.e. for 823,470 is 386810.
Thus, GCF of Fractions is 6/386810.Finally, GCF of Fractions for 564/823, 174/470 is 6/386810.