Online GCD Calculator is useful to find the GCD of 980, 288, 788, 402 quickly. Get the easiest ways to solve the greatest common divisor of 980, 288, 788, 402 i.e 2 in different methods as follows.
Given Input numbers are 980, 288, 788, 402
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 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 788 :
The positive integer divisors of 788 that completely divides 788 are.
1, 2, 4, 197, 394, 788
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
GCD of numbers is the greatest common divisor
So, the GCD (980, 288, 788, 402) = 2.
Given numbers are 980, 288, 788, 402
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 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 788 are 2 x 2 x 197
Prime factors of 402 are 2 x 3 x 67
The highest common occurrence is 21
Therefore, GCD of 980, 288, 788, 402 is 2.
Given numbers are 980, 288, 788, 402
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(980, 288) = 70560
GCD(980, 288) = ( 980 x 288 ) / 70560
= 980 / 288
= 980
Step2:
LCM(4, 788) = 788
GCD(4, 788) = ( 4 x 788 ) / 788
= 4 / 788
= 4
Step3:
LCM(4, 402) = 804
GCD(4, 402) = ( 4 x 402 ) / 804
= 4 / 402
= 4
So, Greatest Common Divisor of 980, 288, 788, 402 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 980, 288, 788, 402
The greatest common divisor of numbers 980, 288, 788, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 288, 788, 402 is 2.
1. What is the GCD of 980, 288, 788, 402?
GCD of given numbers 980, 288, 788, 402 is 2
2. How to calculate the greatest common divisor of 980, 288, 788, 402?
We can find the highest common divisor of 980, 288, 788, 402 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, 288, 788, 402 i.e 2.
3. How can I use the GCD of 980, 288, 788, 402Calculator?
Out the numbers 980, 288, 788, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.