Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/71,69/40,53/98,422/18
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 95,69,53,422
Greatest Common Factor of Numerators i.e. GCF of 95,69,53,422 is 1 .
LCM of Denominators means LCM of 71,40,98,18 as per the given fractions.
LCM of 71,40,98,18 is 1252440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 95,69,53,422
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 422
List of positive integer factors of 422 that divides 422 without a remainder.
1,2,211,422
Greatest Common Factor
We found the factors 95,69,53,422 . The biggest common factor number is the GCF number.
So the greatest common factor 95,69,53,422 is 1.
Lets's calculate LCM of 71,40,98,18
2 | 71, 40, 98, 18 |
71, 20, 49, 9 |
∴ So the LCM of the given numbers is 2 x 71 x 20 x 49 x 9 = 1252440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1252440
Therefore, the GCF of Fractions 95/71,69/40,53/98,422/18 is 1/1252440
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 71,40,98,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,40,98,18) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(71,40,98,18) x common factors =1 x 4 = 4
LCM(71,40,98,18) = ( 71 × 40 × 98 × 18 ) / 4
LCM(71,40,98,18) = 5009760 / 4
LCM(71,40,98,18) = 1252440
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 95/71, 69/40, 53/98, 422/18?
Answer: GCF of Numerators as per given numbers 95/71, 69/40, 53/98, 422/18 is
GCF of Numerators i.e. for 95,69,53,422 is 1
LCM of denominators i.e. for 71,40,98,18 is 1252440.
Thus, GCF of Fractions is 1/1252440.Finally, GCF of Fractions for 95/71, 69/40, 53/98, 422/18 is 1/1252440.