GCD of 693, 540, 60, 630 Calculator

Given Input numbers are 693, 540, 60, 630

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

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

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

GCD of numbers is the greatest common divisor

So, the GCD (693, 540, 60, 630) = 3.

Given numbers are 693, 540, 60, 630

The list of prime factors of all numbers are

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

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 60 are 2 x 2 x 3 x 5

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 693, 540, 60, 630 is 3.

Given numbers are 693, 540, 60, 630

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

Apply this formula for all numbers.

Step1:

LCM(693, 540) = 41580

GCD(693, 540) = ( 693 x 540 ) / 41580

= 693 / 540

= 693

Step2:

LCM(9, 60) = 180

GCD(9, 60) = ( 9 x 60 ) / 180

= 9 / 60

= 9

Step3:

LCM(3, 630) = 630

GCD(3, 630) = ( 3 x 630 ) / 630

= 3 / 630

= 3

So, Greatest Common Divisor of 693, 540, 60, 630 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 669, 75, 551
• GCD of 183, 253, 98, 578
• GCD of 462, 182, 47, 969
• GCD of 666, 824, 76, 439
• GCD of 700, 201, 85, 455

Given numbers are 693, 540, 60, 630
The greatest common divisor of numbers 693, 540, 60, 630 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 693, 540, 60, 630 is 3.

1. What is the GCD of 693, 540, 60, 630?

GCD of given numbers 693, 540, 60, 630 is 3

2. How to calculate the greatest common divisor of 693, 540, 60, 630?

We can find the highest common divisor of 693, 540, 60, 630 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 693, 540, 60, 630 i.e 3.

3. How can I use the GCD of 693, 540, 60, 630Calculator?

Out the numbers 693, 540, 60, 630 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.