GCD of 490, 936, 771, 198 Calculator

Given Input numbers are 490, 936, 771, 198

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

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 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

GCD of numbers is the greatest common divisor

So, the GCD (490, 936, 771, 198) = 1.

Given numbers are 490, 936, 771, 198

The list of prime factors of all numbers are

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

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 771 are 3 x 257

Prime factors of 198 are 2 x 3 x 3 x 11

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

Given numbers are 490, 936, 771, 198

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

Apply this formula for all numbers.

Step1:

LCM(490, 936) = 229320

GCD(490, 936) = ( 490 x 936 ) / 229320

= 490 / 936

= 490

Step2:

LCM(2, 771) = 1542

GCD(2, 771) = ( 2 x 771 ) / 1542

= 2 / 771

= 2

Step3:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1

So, Greatest Common Divisor of 490, 936, 771, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 651, 611, 176, 200
• GCD of 363, 879, 444, 643
• GCD of 804, 134, 885, 384
• GCD of 907, 442, 707, 740
• GCD of 714, 388, 736, 966

Given numbers are 490, 936, 771, 198
The greatest common divisor of numbers 490, 936, 771, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 936, 771, 198 is 1.

1. What is the GCD of 490, 936, 771, 198?

GCD of given numbers 490, 936, 771, 198 is 1

2. How to calculate the greatest common divisor of 490, 936, 771, 198?

We can find the highest common divisor of 490, 936, 771, 198 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 490, 936, 771, 198 i.e 1.

3. How can I use the GCD of 490, 936, 771, 198Calculator?

Out the numbers 490, 936, 771, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.