Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8080/776,7446/534
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 8080,7446
Greatest Common Factor of Numerators i.e. GCF of 8080,7446 is 2 .
LCM of Denominators means LCM of 776,534 as per the given fractions.
LCM of 776,534 is 207192 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8080,7446
2 | 8080, 7446 |
4040, 3723 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8080
List of positive integer factors of 8080 that divides 8080 without a remainder.
1,2,4,5,8,10,16,20,40,80,101,202,404,505,808,1010,1616,2020,4040,8080
Factors of 7446
List of positive integer factors of 7446 that divides 7446 without a remainder.
1,2,3,6,17,34,51,73,102,146,219,438,1241,2482,3723,7446
Greatest Common Factor
We found the factors 8080,7446 . The biggest common factor number is the GCF number.
So the greatest common factor 8080,7446 is 2.
Lets's calculate LCM of 776,534
2 | 776, 534 |
388, 267 |
∴ So the LCM of the given numbers is 2 x 388 x 267 = 207192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/207192
Therefore, the GCF of Fractions 8080/776,7446/534 is 2/207192
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 776,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,534) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(776,534) x common factors =2 x 1 = 2
LCM(776,534) = ( 776 × 534 ) / 2
LCM(776,534) = 414384 / 2
LCM(776,534) = 207192
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 8080/776, 7446/534?
Answer: GCF of Numerators as per given numbers 8080/776, 7446/534 is
GCF of Numerators i.e. for 8080,7446 is 2
LCM of denominators i.e. for 776,534 is 207192.
Thus, GCF of Fractions is 2/207192.Finally, GCF of Fractions for 8080/776, 7446/534 is 2/207192.