Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2060/357,8208/883
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 2060,8208
Greatest Common Factor of Numerators i.e. GCF of 2060,8208 is 4 .
LCM of Denominators means LCM of 357,883 as per the given fractions.
LCM of 357,883 is 315231 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2060,8208
2 | 2060, 8208 |
2 | 1030, 4104 |
515, 2052 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 2060
List of positive integer factors of 2060 that divides 2060 without a remainder.
1,2,4,5,10,20,103,206,412,515,1030,2060
Factors of 8208
List of positive integer factors of 8208 that divides 8208 without a remainder.
1,2,3,4,6,8,9,12,16,18,19,24,27,36,38,48,54,57,72,76,108,114,144,152,171,216,228,304,342,432,456,513,684,912,1026,1368,2052,2736,4104,8208
Greatest Common Factor
We found the factors 2060,8208 . The biggest common factor number is the GCF number.
So the greatest common factor 2060,8208 is 4.
Lets's calculate LCM of 357,883
Given numbers has no common factors except 1. So, there LCM is their product i.e 315231
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/315231
Therefore, the GCF of Fractions 2060/357,8208/883 is 4/315231
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 357,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,883) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(357,883) x common factors =1 x 1 = 1
LCM(357,883) = ( 357 × 883 ) / 1
LCM(357,883) = 315231 / 1
LCM(357,883) = 315231
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 2060/357, 8208/883?
Answer: GCF of Numerators as per given numbers 2060/357, 8208/883 is
GCF of Numerators i.e. for 2060,8208 is 4
LCM of denominators i.e. for 357,883 is 315231.
Thus, GCF of Fractions is 4/315231.Finally, GCF of Fractions for 2060/357, 8208/883 is 4/315231.