Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 382/816,202/996,130/574
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 382,202,130
Greatest Common Factor of Numerators i.e. GCF of 382,202,130 is 2 .
LCM of Denominators means LCM of 816,996,574 as per the given fractions.
LCM of 816,996,574 is 19437936 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 382,202,130
2 | 382, 202, 130 |
191, 101, 65 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Factors of 202
List of positive integer factors of 202 that divides 202 without a remainder.
1,2,101,202
Factors of 130
List of positive integer factors of 130 that divides 130 without a remainder.
1,2,5,10,13,26,65,130
Greatest Common Factor
We found the factors 382,202,130 . The biggest common factor number is the GCF number.
So the greatest common factor 382,202,130 is 2.
Lets's calculate LCM of 816,996,574
2 | 816, 996, 574 |
2 | 408, 498, 287 |
3 | 204, 249, 287 |
68, 83, 287 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 68 x 83 x 287 = 19437936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19437936
Therefore, the GCF of Fractions 382/816,202/996,130/574 is 2/19437936
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 816,996,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,996,574) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(816,996,574) x common factors =2 x 12 = 24
LCM(816,996,574) = ( 816 × 996 × 574 ) / 24
LCM(816,996,574) = 466510464 / 24
LCM(816,996,574) = 19437936
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 382/816, 202/996, 130/574?
Answer: GCF of Numerators as per given numbers 382/816, 202/996, 130/574 is
GCF of Numerators i.e. for 382,202,130 is 2
LCM of denominators i.e. for 816,996,574 is 19437936.
Thus, GCF of Fractions is 2/19437936.Finally, GCF of Fractions for 382/816, 202/996, 130/574 is 2/19437936.