Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 18/85,912/18,988/234
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 18,912,988
Greatest Common Factor of Numerators i.e. GCF of 18,912,988 is 2 .
LCM of Denominators means LCM of 85,18,234 as per the given fractions.
LCM of 85,18,234 is 19890 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 18,912,988
2 | 18, 912, 988 |
9, 456, 494 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 912
List of positive integer factors of 912 that divides 912 without a remainder.
1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Greatest Common Factor
We found the factors 18,912,988 . The biggest common factor number is the GCF number.
So the greatest common factor 18,912,988 is 2.
Lets's calculate LCM of 85,18,234
2 | 85, 18, 234 |
3 | 85, 9, 117 |
3 | 85, 3, 39 |
85, 1, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 85 x 1 x 13 = 19890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19890
Therefore, the GCF of Fractions 18/85,912/18,988/234 is 2/19890
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 85,18,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,18,234) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(85,18,234) x common factors =1 x 18 = 18
LCM(85,18,234) = ( 85 × 18 × 234 ) / 18
LCM(85,18,234) = 358020 / 18
LCM(85,18,234) = 19890
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 18/85, 912/18, 988/234?
Answer: GCF of Numerators as per given numbers 18/85, 912/18, 988/234 is
GCF of Numerators i.e. for 18,912,988 is 2
LCM of denominators i.e. for 85,18,234 is 19890.
Thus, GCF of Fractions is 2/19890.Finally, GCF of Fractions for 18/85, 912/18, 988/234 is 2/19890.