GCD of 361, 490, 706, 940 Calculator

Given Input numbers are 361, 490, 706, 940

In the factoring method, we have to find the divisors of all numbers

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

GCD of numbers is the greatest common divisor

So, the GCD (361, 490, 706, 940) = 1.

Given numbers are 361, 490, 706, 940

The list of prime factors of all numbers are

Prime factors of 361 are 19 x 19

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 706 are 2 x 353

Prime factors of 940 are 2 x 2 x 5 x 47

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 361, 490, 706, 940

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(361, 490) = 176890

GCD(361, 490) = ( 361 x 490 ) / 176890

= 361 / 490

= 361

Step2:

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

= 1 / 706

= 1

Step3:

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

= 1 / 940

= 1

So, Greatest Common Divisor of 361, 490, 706, 940 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 765, 970, 352, 168
• GCD of 667, 730, 794, 810
• GCD of 220, 217, 412, 922
• GCD of 194, 362, 494, 117
• GCD of 389, 320, 274, 287

Given numbers are 361, 490, 706, 940
The greatest common divisor of numbers 361, 490, 706, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 490, 706, 940 is 1.

1. What is the GCD of 361, 490, 706, 940?

GCD of given numbers 361, 490, 706, 940 is 1

2. How to calculate the greatest common divisor of 361, 490, 706, 940?

We can find the highest common divisor of 361, 490, 706, 940 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 361, 490, 706, 940 i.e 1.

3. How can I use the GCD of 361, 490, 706, 940Calculator?

Out the numbers 361, 490, 706, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.