GCD of 949, 936, 357, 900 Calculator

Given Input numbers are 949, 936, 357, 900

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

Divisors of 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

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 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (949, 936, 357, 900) = 1.

Given numbers are 949, 936, 357, 900

The list of prime factors of all numbers are

Prime factors of 949 are 13 x 73

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

Prime factors of 357 are 3 x 7 x 17

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

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

Given numbers are 949, 936, 357, 900

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

Apply this formula for all numbers.

Step1:

LCM(949, 936) = 68328

GCD(949, 936) = ( 949 x 936 ) / 68328

= 949 / 936

= 949

Step2:

LCM(13, 357) = 4641

GCD(13, 357) = ( 13 x 357 ) / 4641

= 13 / 357

= 13

Step3:

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

= 1 / 900

= 1

So, Greatest Common Divisor of 949, 936, 357, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 309, 552, 509, 260
• GCD of 198, 763, 947, 961
• GCD of 329, 962, 255, 464
• GCD of 140, 705, 476, 613
• GCD of 206, 104, 323, 351

Given numbers are 949, 936, 357, 900
The greatest common divisor of numbers 949, 936, 357, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 949, 936, 357, 900 is 1.

1. What is the GCD of 949, 936, 357, 900?

GCD of given numbers 949, 936, 357, 900 is 1

2. How to calculate the greatest common divisor of 949, 936, 357, 900?

We can find the highest common divisor of 949, 936, 357, 900 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 949, 936, 357, 900 i.e 1.

3. How can I use the GCD of 949, 936, 357, 900Calculator?

Out the numbers 949, 936, 357, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.