Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 380/948,649/402
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 380,649
Greatest Common Factor of Numerators i.e. GCF of 380,649 is 1 .
LCM of Denominators means LCM of 948,402 as per the given fractions.
LCM of 948,402 is 63516 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 380,649
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,380
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1,11,59,649
Greatest Common Factor
We found the factors 380,649 . The biggest common factor number is the GCF number.
So the greatest common factor 380,649 is 1.
Lets's calculate LCM of 948,402
2 | 948, 402 |
3 | 474, 201 |
158, 67 |
∴ So the LCM of the given numbers is 2 x 3 x 158 x 67 = 63516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63516
Therefore, the GCF of Fractions 380/948,649/402 is 1/63516
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 948,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(948,402) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(948,402) x common factors =6 x 1 = 6
LCM(948,402) = ( 948 × 402 ) / 6
LCM(948,402) = 381096 / 6
LCM(948,402) = 63516
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 380/948, 649/402?
Answer: GCF of Numerators as per given numbers 380/948, 649/402 is
GCF of Numerators i.e. for 380,649 is 1
LCM of denominators i.e. for 948,402 is 63516.
Thus, GCF of Fractions is 1/63516.Finally, GCF of Fractions for 380/948, 649/402 is 1/63516.