Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2/97,22/83,73/679,338/168
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 2,22,73,338
Greatest Common Factor of Numerators i.e. GCF of 2,22,73,338 is 1 .
LCM of Denominators means LCM of 97,83,679,168 as per the given fractions.
LCM of 97,83,679,168 is 1352568 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2,22,73,338
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2
List of positive integer factors of 2 that divides 2 without a remainder.
1,2
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 338
List of positive integer factors of 338 that divides 338 without a remainder.
1,2,13,26,169,338
Greatest Common Factor
We found the factors 2,22,73,338 . The biggest common factor number is the GCF number.
So the greatest common factor 2,22,73,338 is 1.
Lets's calculate LCM of 97,83,679,168
7 | 97, 83, 679, 168 |
97 | 97, 83, 97, 24 |
1, 83, 1, 24 |
∴ So the LCM of the given numbers is 7 x 97 x 1 x 83 x 1 x 24 = 1352568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1352568
Therefore, the GCF of Fractions 2/97,22/83,73/679,338/168 is 1/1352568
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 97,83,679,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,83,679,168) = 1
common factors(in case of two or more numbers have common factors) = 679
GCF(97,83,679,168) x common factors =1 x 679 = 679
LCM(97,83,679,168) = ( 97 × 83 × 679 × 168 ) / 679
LCM(97,83,679,168) = 918393672 / 679
LCM(97,83,679,168) = 1352568
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 2/97, 22/83, 73/679, 338/168?
Answer: GCF of Numerators as per given numbers 2/97, 22/83, 73/679, 338/168 is
GCF of Numerators i.e. for 2,22,73,338 is 1
LCM of denominators i.e. for 97,83,679,168 is 1352568.
Thus, GCF of Fractions is 1/1352568.Finally, GCF of Fractions for 2/97, 22/83, 73/679, 338/168 is 1/1352568.