Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 453/702,101/708,478/409
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 453,101,478
Greatest Common Factor of Numerators i.e. GCF of 453,101,478 is 1 .
LCM of Denominators means LCM of 702,708,409 as per the given fractions.
LCM of 702,708,409 is 33879924 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 453,101,478
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1,3,151,453
Factors of 101
List of positive integer factors of 101 that divides 101 without a remainder.
1,101
Factors of 478
List of positive integer factors of 478 that divides 478 without a remainder.
1,2,239,478
Greatest Common Factor
We found the factors 453,101,478 . The biggest common factor number is the GCF number.
So the greatest common factor 453,101,478 is 1.
Lets's calculate LCM of 702,708,409
2 | 702, 708, 409 |
3 | 351, 354, 409 |
117, 118, 409 |
∴ So the LCM of the given numbers is 2 x 3 x 117 x 118 x 409 = 33879924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33879924
Therefore, the GCF of Fractions 453/702,101/708,478/409 is 1/33879924
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 702,708,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,708,409) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(702,708,409) x common factors =1 x 6 = 6
LCM(702,708,409) = ( 702 × 708 × 409 ) / 6
LCM(702,708,409) = 203279544 / 6
LCM(702,708,409) = 33879924
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 453/702, 101/708, 478/409?
Answer: GCF of Numerators as per given numbers 453/702, 101/708, 478/409 is
GCF of Numerators i.e. for 453,101,478 is 1
LCM of denominators i.e. for 702,708,409 is 33879924.
Thus, GCF of Fractions is 1/33879924.Finally, GCF of Fractions for 453/702, 101/708, 478/409 is 1/33879924.