Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7742/52,1407/880
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 7742,1407
Greatest Common Factor of Numerators i.e. GCF of 7742,1407 is 7 .
LCM of Denominators means LCM of 52,880 as per the given fractions.
LCM of 52,880 is 11440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7742,1407
7 | 7742, 1407 |
1106, 201 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 7742
List of positive integer factors of 7742 that divides 7742 without a remainder.
1,2,7,14,49,79,98,158,553,1106,3871,7742
Factors of 1407
List of positive integer factors of 1407 that divides 1407 without a remainder.
1,3,7,21,67,201,469,1407
Greatest Common Factor
We found the factors 7742,1407 . The biggest common factor number is the GCF number.
So the greatest common factor 7742,1407 is 7.
Lets's calculate LCM of 52,880
2 | 52, 880 |
2 | 26, 440 |
13, 220 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 220 = 11440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/11440
Therefore, the GCF of Fractions 7742/52,1407/880 is 7/11440
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 52,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,880) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(52,880) x common factors =4 x 1 = 4
LCM(52,880) = ( 52 × 880 ) / 4
LCM(52,880) = 45760 / 4
LCM(52,880) = 11440
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 7742/52, 1407/880?
Answer: GCF of Numerators as per given numbers 7742/52, 1407/880 is
GCF of Numerators i.e. for 7742,1407 is 7
LCM of denominators i.e. for 52,880 is 11440.
Thus, GCF of Fractions is 7/11440.Finally, GCF of Fractions for 7742/52, 1407/880 is 7/11440.