GCD of 738, 946, 360, 169 Calculator

Given Input numbers are 738, 946, 360, 169

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

GCD of numbers is the greatest common divisor

So, the GCD (738, 946, 360, 169) = 1.

Given numbers are 738, 946, 360, 169

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 946 are 2 x 11 x 43

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 169 are 13 x 13

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

Given numbers are 738, 946, 360, 169

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

Apply this formula for all numbers.

Step1:

LCM(738, 946) = 349074

GCD(738, 946) = ( 738 x 946 ) / 349074

= 738 / 946

= 738

Step2:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

Step3:

LCM(2, 169) = 338

GCD(2, 169) = ( 2 x 169 ) / 338

= 2 / 169

= 2

So, Greatest Common Divisor of 738, 946, 360, 169 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 670, 966, 230, 646
• GCD of 251, 367, 179, 471
• GCD of 196, 945, 704, 111
• GCD of 560, 921, 220, 364
• GCD of 846, 190, 332, 884

Given numbers are 738, 946, 360, 169
The greatest common divisor of numbers 738, 946, 360, 169 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 946, 360, 169 is 1.

1. What is the GCD of 738, 946, 360, 169?

GCD of given numbers 738, 946, 360, 169 is 1

2. How to calculate the greatest common divisor of 738, 946, 360, 169?

We can find the highest common divisor of 738, 946, 360, 169 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 738, 946, 360, 169 i.e 1.

3. How can I use the GCD of 738, 946, 360, 169Calculator?

Out the numbers 738, 946, 360, 169 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.