Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 154/775,453/744,315/812
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 154,453,315
Greatest Common Factor of Numerators i.e. GCF of 154,453,315 is 1 .
LCM of Denominators means LCM of 775,744,812 as per the given fractions.
LCM of 775,744,812 is 3775800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 154,453,315
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 154
List of positive integer factors of 154 that divides 154 without a remainder.
1,2,7,11,14,22,77,154
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1,3,151,453
Factors of 315
List of positive integer factors of 315 that divides 315 without a remainder.
1,3,5,7,9,15,21,35,45,63,105,315
Greatest Common Factor
We found the factors 154,453,315 . The biggest common factor number is the GCF number.
So the greatest common factor 154,453,315 is 1.
Lets's calculate LCM of 775,744,812
2 | 775, 744, 812 |
2 | 775, 372, 406 |
31 | 775, 186, 203 |
25, 6, 203 |
∴ So the LCM of the given numbers is 2 x 2 x 31 x 25 x 6 x 203 = 3775800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3775800
Therefore, the GCF of Fractions 154/775,453/744,315/812 is 1/3775800
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 775,744,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(775,744,812) = 1
common factors(in case of two or more numbers have common factors) = 124
GCF(775,744,812) x common factors =1 x 124 = 124
LCM(775,744,812) = ( 775 × 744 × 812 ) / 124
LCM(775,744,812) = 468199200 / 124
LCM(775,744,812) = 3775800
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 154/775, 453/744, 315/812?
Answer: GCF of Numerators as per given numbers 154/775, 453/744, 315/812 is
GCF of Numerators i.e. for 154,453,315 is 1
LCM of denominators i.e. for 775,744,812 is 3775800.
Thus, GCF of Fractions is 1/3775800.Finally, GCF of Fractions for 154/775, 453/744, 315/812 is 1/3775800.