Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 186/885,918/812,822/890
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 186,918,822
Greatest Common Factor of Numerators i.e. GCF of 186,918,822 is 6 .
LCM of Denominators means LCM of 885,812,890 as per the given fractions.
LCM of 885,812,890 is 63957180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 186,918,822
2 | 186, 918, 822 |
3 | 93, 459, 411 |
31, 153, 137 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 186
List of positive integer factors of 186 that divides 186 without a remainder.
1,2,3,6,31,62,93,186
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Greatest Common Factor
We found the factors 186,918,822 . The biggest common factor number is the GCF number.
So the greatest common factor 186,918,822 is 6.
Lets's calculate LCM of 885,812,890
2 | 885, 812, 890 |
5 | 885, 406, 445 |
177, 406, 89 |
∴ So the LCM of the given numbers is 2 x 5 x 177 x 406 x 89 = 63957180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/63957180
Therefore, the GCF of Fractions 186/885,918/812,822/890 is 6/63957180
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 885,812,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(885,812,890) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(885,812,890) x common factors =1 x 10 = 10
LCM(885,812,890) = ( 885 × 812 × 890 ) / 10
LCM(885,812,890) = 639571800 / 10
LCM(885,812,890) = 63957180
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 186/885, 918/812, 822/890?
Answer: GCF of Numerators as per given numbers 186/885, 918/812, 822/890 is
GCF of Numerators i.e. for 186,918,822 is 6
LCM of denominators i.e. for 885,812,890 is 63957180.
Thus, GCF of Fractions is 6/63957180.Finally, GCF of Fractions for 186/885, 918/812, 822/890 is 6/63957180.