Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1/90,92/61,83/257,304/823
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 1,92,83,304
Greatest Common Factor of Numerators i.e. GCF of 1,92,83,304 is 1 .
LCM of Denominators means LCM of 90,61,257,823 as per the given fractions.
LCM of 90,61,257,823 is 1161195390 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1,92,83,304
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1
List of positive integer factors of 1 that divides 1 without a remainder.
1
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Greatest Common Factor
We found the factors 1,92,83,304 . The biggest common factor number is the GCF number.
So the greatest common factor 1,92,83,304 is 1.
Lets's calculate LCM of 90,61,257,823
Given numbers has no common factors except 1. So, there LCM is their product i.e 1161195390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1161195390
Therefore, the GCF of Fractions 1/90,92/61,83/257,304/823 is 1/1161195390
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 90,61,257,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,61,257,823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(90,61,257,823) x common factors =1 x 1 = 1
LCM(90,61,257,823) = ( 90 × 61 × 257 × 823 ) / 1
LCM(90,61,257,823) = 1161195390 / 1
LCM(90,61,257,823) = 1161195390
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 1/90, 92/61, 83/257, 304/823?
Answer: GCF of Numerators as per given numbers 1/90, 92/61, 83/257, 304/823 is
GCF of Numerators i.e. for 1,92,83,304 is 1
LCM of denominators i.e. for 90,61,257,823 is 1161195390.
Thus, GCF of Fractions is 1/1161195390.Finally, GCF of Fractions for 1/90, 92/61, 83/257, 304/823 is 1/1161195390.