Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 744/812,8187/374
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 744,8187
Greatest Common Factor of Numerators i.e. GCF of 744,8187 is 3 .
LCM of Denominators means LCM of 812,374 as per the given fractions.
LCM of 812,374 is 151844 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 744,8187
3 | 744, 8187 |
248, 2729 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 744
List of positive integer factors of 744 that divides 744 without a remainder.
1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744
Factors of 8187
List of positive integer factors of 8187 that divides 8187 without a remainder.
1,3,2729,8187
Greatest Common Factor
We found the factors 744,8187 . The biggest common factor number is the GCF number.
So the greatest common factor 744,8187 is 3.
Lets's calculate LCM of 812,374
2 | 812, 374 |
406, 187 |
∴ So the LCM of the given numbers is 2 x 406 x 187 = 151844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/151844
Therefore, the GCF of Fractions 744/812,8187/374 is 3/151844
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 812,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,374) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(812,374) x common factors =2 x 1 = 2
LCM(812,374) = ( 812 × 374 ) / 2
LCM(812,374) = 303688 / 2
LCM(812,374) = 151844
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 744/812, 8187/374?
Answer: GCF of Numerators as per given numbers 744/812, 8187/374 is
GCF of Numerators i.e. for 744,8187 is 3
LCM of denominators i.e. for 812,374 is 151844.
Thus, GCF of Fractions is 3/151844.Finally, GCF of Fractions for 744/812, 8187/374 is 3/151844.