Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 464/402,166/702,382/139
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 464,166,382
Greatest Common Factor of Numerators i.e. GCF of 464,166,382 is 2 .
LCM of Denominators means LCM of 402,702,139 as per the given fractions.
LCM of 402,702,139 is 6537726 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 464,166,382
2 | 464, 166, 382 |
232, 83, 191 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 464
List of positive integer factors of 464 that divides 464 without a remainder.
1,2,4,8,16,29,58,116,232,464
Factors of 166
List of positive integer factors of 166 that divides 166 without a remainder.
1,2,83,166
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Greatest Common Factor
We found the factors 464,166,382 . The biggest common factor number is the GCF number.
So the greatest common factor 464,166,382 is 2.
Lets's calculate LCM of 402,702,139
2 | 402, 702, 139 |
3 | 201, 351, 139 |
67, 117, 139 |
∴ So the LCM of the given numbers is 2 x 3 x 67 x 117 x 139 = 6537726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6537726
Therefore, the GCF of Fractions 464/402,166/702,382/139 is 2/6537726
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 402,702,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,702,139) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(402,702,139) x common factors =1 x 6 = 6
LCM(402,702,139) = ( 402 × 702 × 139 ) / 6
LCM(402,702,139) = 39226356 / 6
LCM(402,702,139) = 6537726
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 464/402, 166/702, 382/139?
Answer: GCF of Numerators as per given numbers 464/402, 166/702, 382/139 is
GCF of Numerators i.e. for 464,166,382 is 2
LCM of denominators i.e. for 402,702,139 is 6537726.
Thus, GCF of Fractions is 2/6537726.Finally, GCF of Fractions for 464/402, 166/702, 382/139 is 2/6537726.