GCD of 737, 345, 402, 828 Calculator

Given Input numbers are 737, 345, 402, 828

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

Divisors of 737 :

The positive integer divisors of 737 that completely divides 737 are.

1, 11, 67, 737

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (737, 345, 402, 828) = 1.

Given numbers are 737, 345, 402, 828

The list of prime factors of all numbers are

Prime factors of 737 are 11 x 67

Prime factors of 345 are 3 x 5 x 23

Prime factors of 402 are 2 x 3 x 67

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

Given numbers are 737, 345, 402, 828

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

Apply this formula for all numbers.

Step1:

LCM(737, 345) = 254265

GCD(737, 345) = ( 737 x 345 ) / 254265

= 737 / 345

= 737

Step2:

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

= 1 / 402

= 1

Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

So, Greatest Common Divisor of 737, 345, 402, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 811, 637, 907, 525
• GCD of 668, 862, 589, 321
• GCD of 404, 965, 603, 582
• GCD of 940, 285, 175, 297
• GCD of 826, 284, 185, 906

Given numbers are 737, 345, 402, 828
The greatest common divisor of numbers 737, 345, 402, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 737, 345, 402, 828 is 1.

1. What is the GCD of 737, 345, 402, 828?

GCD of given numbers 737, 345, 402, 828 is 1

2. How to calculate the greatest common divisor of 737, 345, 402, 828?

We can find the highest common divisor of 737, 345, 402, 828 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 737, 345, 402, 828 i.e 1.

3. How can I use the GCD of 737, 345, 402, 828Calculator?

Out the numbers 737, 345, 402, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.