Online GCD Calculator is useful to find the GCD of 402, 618, 980, 172 quickly. Get the easiest ways to solve the greatest common divisor of 402, 618, 980, 172 i.e 2 in different methods as follows.
Given Input numbers are 402, 618, 980, 172
In the factoring method, we have to find the divisors of all numbers
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 618 :
The positive integer divisors of 618 that completely divides 618 are.
1, 2, 3, 6, 103, 206, 309, 618
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 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
GCD of numbers is the greatest common divisor
So, the GCD (402, 618, 980, 172) = 2.
Given numbers are 402, 618, 980, 172
The list of prime factors of all numbers are
Prime factors of 402 are 2 x 3 x 67
Prime factors of 618 are 2 x 3 x 103
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 172 are 2 x 2 x 43
The highest common occurrence is 21
Therefore, GCD of 402, 618, 980, 172 is 2.
Given numbers are 402, 618, 980, 172
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(402, 618) = 41406
GCD(402, 618) = ( 402 x 618 ) / 41406
= 402 / 618
= 402
Step2:
LCM(6, 980) = 2940
GCD(6, 980) = ( 6 x 980 ) / 2940
= 6 / 980
= 6
Step3:
LCM(2, 172) = 172
GCD(2, 172) = ( 2 x 172 ) / 172
= 2 / 172
= 2
So, Greatest Common Divisor of 402, 618, 980, 172 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 402, 618, 980, 172
The greatest common divisor of numbers 402, 618, 980, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 618, 980, 172 is 2.
1. What is the GCD of 402, 618, 980, 172?
GCD of given numbers 402, 618, 980, 172 is 2
2. How to calculate the greatest common divisor of 402, 618, 980, 172?
We can find the highest common divisor of 402, 618, 980, 172 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 402, 618, 980, 172 i.e 2.
3. How can I use the GCD of 402, 618, 980, 172Calculator?
Out the numbers 402, 618, 980, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.