Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7/79,257/88,485/89
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 7,257,485
Greatest Common Factor of Numerators i.e. GCF of 7,257,485 is 1 .
LCM of Denominators means LCM of 79,88,89 as per the given fractions.
LCM of 79,88,89 is 618728 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7,257,485
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7
List of positive integer factors of 7 that divides 7 without a remainder.
1,7
Factors of 257
List of positive integer factors of 257 that divides 257 without a remainder.
1,257
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1,5,97,485
Greatest Common Factor
We found the factors 7,257,485 . The biggest common factor number is the GCF number.
So the greatest common factor 7,257,485 is 1.
Lets's calculate LCM of 79,88,89
Given numbers has no common factors except 1. So, there LCM is their product i.e 618728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/618728
Therefore, the GCF of Fractions 7/79,257/88,485/89 is 1/618728
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 79,88,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,88,89) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,88,89) x common factors =1 x 1 = 1
LCM(79,88,89) = ( 79 × 88 × 89 ) / 1
LCM(79,88,89) = 618728 / 1
LCM(79,88,89) = 618728
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 7/79, 257/88, 485/89?
Answer: GCF of Numerators as per given numbers 7/79, 257/88, 485/89 is
GCF of Numerators i.e. for 7,257,485 is 1
LCM of denominators i.e. for 79,88,89 is 618728.
Thus, GCF of Fractions is 1/618728.Finally, GCF of Fractions for 7/79, 257/88, 485/89 is 1/618728.