Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 975/80,551/6626
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 975,551
Greatest Common Factor of Numerators i.e. GCF of 975,551 is 1 .
LCM of Denominators means LCM of 80,6626 as per the given fractions.
LCM of 80,6626 is 265040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 975,551
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 975
List of positive integer factors of 975 that divides 975 without a remainder.
1,3,5,13,15,25,39,65,75,195,325,975
Factors of 551
List of positive integer factors of 551 that divides 551 without a remainder.
1,19,29,551
Greatest Common Factor
We found the factors 975,551 . The biggest common factor number is the GCF number.
So the greatest common factor 975,551 is 1.
Lets's calculate LCM of 80,6626
2 | 80, 6626 |
40, 3313 |
∴ So the LCM of the given numbers is 2 x 40 x 3313 = 265040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/265040
Therefore, the GCF of Fractions 975/80,551/6626 is 1/265040
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 80,6626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,6626) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(80,6626) x common factors =2 x 1 = 2
LCM(80,6626) = ( 80 × 6626 ) / 2
LCM(80,6626) = 530080 / 2
LCM(80,6626) = 265040
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 975/80, 551/6626?
Answer: GCF of Numerators as per given numbers 975/80, 551/6626 is
GCF of Numerators i.e. for 975,551 is 1
LCM of denominators i.e. for 80,6626 is 265040.
Thus, GCF of Fractions is 1/265040.Finally, GCF of Fractions for 975/80, 551/6626 is 1/265040.