Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 923/97,372/42,458/402
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 923,372,458
Greatest Common Factor of Numerators i.e. GCF of 923,372,458 is 1 .
LCM of Denominators means LCM of 97,42,402 as per the given fractions.
LCM of 97,42,402 is 272958 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 923,372,458
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 923
List of positive integer factors of 923 that divides 923 without a remainder.
1,13,71,923
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
Factors of 458
List of positive integer factors of 458 that divides 458 without a remainder.
1,2,229,458
Greatest Common Factor
We found the factors 923,372,458 . The biggest common factor number is the GCF number.
So the greatest common factor 923,372,458 is 1.
Lets's calculate LCM of 97,42,402
2 | 97, 42, 402 |
3 | 97, 21, 201 |
97, 7, 67 |
∴ So the LCM of the given numbers is 2 x 3 x 97 x 7 x 67 = 272958
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/272958
Therefore, the GCF of Fractions 923/97,372/42,458/402 is 1/272958
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 97,42,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,42,402) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(97,42,402) x common factors =1 x 6 = 6
LCM(97,42,402) = ( 97 × 42 × 402 ) / 6
LCM(97,42,402) = 1637748 / 6
LCM(97,42,402) = 272958
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 923/97, 372/42, 458/402?
Answer: GCF of Numerators as per given numbers 923/97, 372/42, 458/402 is
GCF of Numerators i.e. for 923,372,458 is 1
LCM of denominators i.e. for 97,42,402 is 272958.
Thus, GCF of Fractions is 1/272958.Finally, GCF of Fractions for 923/97, 372/42, 458/402 is 1/272958.