Online GCD Calculator is useful to find the GCD of 980, 486, 394, 144 quickly. Get the easiest ways to solve the greatest common divisor of 980, 486, 394, 144 i.e 2 in different methods as follows.
Given Input numbers are 980, 486, 394, 144
In the factoring method, we have to find the divisors of all numbers
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 486 :
The positive integer divisors of 486 that completely divides 486 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 394 :
The positive integer divisors of 394 that completely divides 394 are.
1, 2, 197, 394
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
GCD of numbers is the greatest common divisor
So, the GCD (980, 486, 394, 144) = 2.
Given numbers are 980, 486, 394, 144
The list of prime factors of all numbers are
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 394 are 2 x 197
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 980, 486, 394, 144 is 2.
Given numbers are 980, 486, 394, 144
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(980, 486) = 238140
GCD(980, 486) = ( 980 x 486 ) / 238140
= 980 / 486
= 980
Step2:
LCM(2, 394) = 394
GCD(2, 394) = ( 2 x 394 ) / 394
= 2 / 394
= 2
Step3:
LCM(2, 144) = 144
GCD(2, 144) = ( 2 x 144 ) / 144
= 2 / 144
= 2
So, Greatest Common Divisor of 980, 486, 394, 144 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 980, 486, 394, 144
The greatest common divisor of numbers 980, 486, 394, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 486, 394, 144 is 2.
1. What is the GCD of 980, 486, 394, 144?
GCD of given numbers 980, 486, 394, 144 is 2
2. How to calculate the greatest common divisor of 980, 486, 394, 144?
We can find the highest common divisor of 980, 486, 394, 144 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 980, 486, 394, 144 i.e 2.
3. How can I use the GCD of 980, 486, 394, 144Calculator?
Out the numbers 980, 486, 394, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.