Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5586/890,8262/328
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 5586,8262
Greatest Common Factor of Numerators i.e. GCF of 5586,8262 is 6 .
LCM of Denominators means LCM of 890,328 as per the given fractions.
LCM of 890,328 is 145960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5586,8262
2 | 5586, 8262 |
3 | 2793, 4131 |
931, 1377 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 5586
List of positive integer factors of 5586 that divides 5586 without a remainder.
1,2,3,6,7,14,19,21,38,42,49,57,98,114,133,147,266,294,399,798,931,1862,2793,5586
Factors of 8262
List of positive integer factors of 8262 that divides 8262 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,81,102,153,162,243,306,459,486,918,1377,2754,4131,8262
Greatest Common Factor
We found the factors 5586,8262 . The biggest common factor number is the GCF number.
So the greatest common factor 5586,8262 is 6.
Lets's calculate LCM of 890,328
2 | 890, 328 |
445, 164 |
∴ So the LCM of the given numbers is 2 x 445 x 164 = 145960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/145960
Therefore, the GCF of Fractions 5586/890,8262/328 is 6/145960
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 890,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(890,328) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(890,328) x common factors =2 x 1 = 2
LCM(890,328) = ( 890 × 328 ) / 2
LCM(890,328) = 291920 / 2
LCM(890,328) = 145960
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 5586/890, 8262/328?
Answer: GCF of Numerators as per given numbers 5586/890, 8262/328 is
GCF of Numerators i.e. for 5586,8262 is 6
LCM of denominators i.e. for 890,328 is 145960.
Thus, GCF of Fractions is 6/145960.Finally, GCF of Fractions for 5586/890, 8262/328 is 6/145960.