Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 769/505,8824/690
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 769,8824
Greatest Common Factor of Numerators i.e. GCF of 769,8824 is 1 .
LCM of Denominators means LCM of 505,690 as per the given fractions.
LCM of 505,690 is 69690 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 769,8824
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 769
List of positive integer factors of 769 that divides 769 without a remainder.
1,769
Factors of 8824
List of positive integer factors of 8824 that divides 8824 without a remainder.
1,2,4,8,1103,2206,4412,8824
Greatest Common Factor
We found the factors 769,8824 . The biggest common factor number is the GCF number.
So the greatest common factor 769,8824 is 1.
Lets's calculate LCM of 505,690
5 | 505, 690 |
101, 138 |
∴ So the LCM of the given numbers is 5 x 101 x 138 = 69690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69690
Therefore, the GCF of Fractions 769/505,8824/690 is 1/69690
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 505,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(505,690) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(505,690) x common factors =5 x 1 = 5
LCM(505,690) = ( 505 × 690 ) / 5
LCM(505,690) = 348450 / 5
LCM(505,690) = 69690
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 769/505, 8824/690?
Answer: GCF of Numerators as per given numbers 769/505, 8824/690 is
GCF of Numerators i.e. for 769,8824 is 1
LCM of denominators i.e. for 505,690 is 69690.
Thus, GCF of Fractions is 1/69690.Finally, GCF of Fractions for 769/505, 8824/690 is 1/69690.