GCD of 477, 705, 975, 693 Calculator

Given Input numbers are 477, 705, 975, 693

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

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

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 (477, 705, 975, 693) = 3.

Given numbers are 477, 705, 975, 693

The list of prime factors of all numbers are

Prime factors of 477 are 3 x 3 x 53

Prime factors of 705 are 3 x 5 x 47

Prime factors of 975 are 3 x 5 x 5 x 13

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

The highest common occurrence is 3¹

Therefore, GCD of 477, 705, 975, 693 is 3.

Given numbers are 477, 705, 975, 693

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

Apply this formula for all numbers.

Step1:

LCM(477, 705) = 112095

GCD(477, 705) = ( 477 x 705 ) / 112095

= 477 / 705

= 477

Step2:

LCM(3, 975) = 975

GCD(3, 975) = ( 3 x 975 ) / 975

= 3 / 975

= 3

Step3:

LCM(3, 693) = 693

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

= 3 / 693

= 3

So, Greatest Common Divisor of 477, 705, 975, 693 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 402, 457, 668, 769
• GCD of 313, 644, 811, 367
• GCD of 990, 955, 573, 234
• GCD of 792, 165, 819, 593
• GCD of 588, 817, 253, 859

Given numbers are 477, 705, 975, 693
The greatest common divisor of numbers 477, 705, 975, 693 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 477, 705, 975, 693 is 3.

1. What is the GCD of 477, 705, 975, 693?

GCD of given numbers 477, 705, 975, 693 is 3

2. How to calculate the greatest common divisor of 477, 705, 975, 693?

We can find the highest common divisor of 477, 705, 975, 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 477, 705, 975, 693 i.e 3.

3. How can I use the GCD of 477, 705, 975, 693Calculator?

Out the numbers 477, 705, 975, 693 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.