GCD of 345, 504, 771, 693 Calculator

Given Input numbers are 345, 504, 771, 693

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

Divisors of 345 :

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

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

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 771 :

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

1, 3, 257, 771

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

GCD of numbers is the greatest common divisor

So, the GCD (345, 504, 771, 693) = 3.

Given numbers are 345, 504, 771, 693

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 771 are 3 x 257

Prime factors of 693 are 3 x 3 x 7 x 11

The highest common occurrence is 3¹

Therefore, GCD of 345, 504, 771, 693 is 3.

Given numbers are 345, 504, 771, 693

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

Apply this formula for all numbers.

Step1:

LCM(345, 504) = 57960

GCD(345, 504) = ( 345 x 504 ) / 57960

= 345 / 504

= 345

Step2:

LCM(3, 771) = 771

GCD(3, 771) = ( 3 x 771 ) / 771

= 3 / 771

= 3

Step3:

LCM(3, 693) = 693

GCD(3, 693) = ( 3 x 693 ) / 693

= 3 / 693

= 3

So, Greatest Common Divisor of 345, 504, 771, 693 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 342, 257, 860, 587
• GCD of 267, 411, 465, 736
• GCD of 382, 310, 702, 203
• GCD of 126, 972, 459, 285
• GCD of 603, 982, 422, 724

Given numbers are 345, 504, 771, 693
The greatest common divisor of numbers 345, 504, 771, 693 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 504, 771, 693 is 3.

1. What is the GCD of 345, 504, 771, 693?

GCD of given numbers 345, 504, 771, 693 is 3

2. How to calculate the greatest common divisor of 345, 504, 771, 693?

We can find the highest common divisor of 345, 504, 771, 693 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 345, 504, 771, 693 i.e 3.

3. How can I use the GCD of 345, 504, 771, 693Calculator?

Out the numbers 345, 504, 771, 693 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.