Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 775/627,229/689,822/887
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 775,229,822
Greatest Common Factor of Numerators i.e. GCF of 775,229,822 is 1 .
LCM of Denominators means LCM of 627,689,887 as per the given fractions.
LCM of 627,689,887 is 383186661 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 775,229,822
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Factors of 229
List of positive integer factors of 229 that divides 229 without a remainder.
1,229
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Greatest Common Factor
We found the factors 775,229,822 . The biggest common factor number is the GCF number.
So the greatest common factor 775,229,822 is 1.
Lets's calculate LCM of 627,689,887
Given numbers has no common factors except 1. So, there LCM is their product i.e 383186661
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/383186661
Therefore, the GCF of Fractions 775/627,229/689,822/887 is 1/383186661
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 627,689,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(627,689,887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(627,689,887) x common factors =1 x 1 = 1
LCM(627,689,887) = ( 627 × 689 × 887 ) / 1
LCM(627,689,887) = 383186661 / 1
LCM(627,689,887) = 383186661
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 775/627, 229/689, 822/887?
Answer: GCF of Numerators as per given numbers 775/627, 229/689, 822/887 is
GCF of Numerators i.e. for 775,229,822 is 1
LCM of denominators i.e. for 627,689,887 is 383186661.
Thus, GCF of Fractions is 1/383186661.Finally, GCF of Fractions for 775/627, 229/689, 822/887 is 1/383186661.