Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6416/820,1070/296
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 6416,1070
Greatest Common Factor of Numerators i.e. GCF of 6416,1070 is 2 .
LCM of Denominators means LCM of 820,296 as per the given fractions.
LCM of 820,296 is 60680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6416,1070
2 | 6416, 1070 |
3208, 535 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6416
List of positive integer factors of 6416 that divides 6416 without a remainder.
1,2,4,8,16,401,802,1604,3208,6416
Factors of 1070
List of positive integer factors of 1070 that divides 1070 without a remainder.
1,2,5,10,107,214,535,1070
Greatest Common Factor
We found the factors 6416,1070 . The biggest common factor number is the GCF number.
So the greatest common factor 6416,1070 is 2.
Lets's calculate LCM of 820,296
2 | 820, 296 |
2 | 410, 148 |
205, 74 |
∴ So the LCM of the given numbers is 2 x 2 x 205 x 74 = 60680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/60680
Therefore, the GCF of Fractions 6416/820,1070/296 is 2/60680
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 820,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(820,296) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(820,296) x common factors =4 x 1 = 4
LCM(820,296) = ( 820 × 296 ) / 4
LCM(820,296) = 242720 / 4
LCM(820,296) = 60680
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 6416/820, 1070/296?
Answer: GCF of Numerators as per given numbers 6416/820, 1070/296 is
GCF of Numerators i.e. for 6416,1070 is 2
LCM of denominators i.e. for 820,296 is 60680.
Thus, GCF of Fractions is 2/60680.Finally, GCF of Fractions for 6416/820, 1070/296 is 2/60680.