GCD of 975, 545, 369, 840 Calculator

Given Input numbers are 975, 545, 369, 840

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

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 545 :

The positive integer divisors of 545 that completely divides 545 are.

1, 5, 109, 545

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

GCD of numbers is the greatest common divisor

So, the GCD (975, 545, 369, 840) = 1.

Given numbers are 975, 545, 369, 840

The list of prime factors of all numbers are

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

Prime factors of 545 are 5 x 109

Prime factors of 369 are 3 x 3 x 41

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

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

Given numbers are 975, 545, 369, 840

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

Apply this formula for all numbers.

Step1:

LCM(975, 545) = 106275

GCD(975, 545) = ( 975 x 545 ) / 106275

= 975 / 545

= 975

Step2:

LCM(5, 369) = 1845

GCD(5, 369) = ( 5 x 369 ) / 1845

= 5 / 369

= 5

Step3:

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

= 1 / 840

= 1

So, Greatest Common Divisor of 975, 545, 369, 840 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 138, 454, 720, 476
• GCD of 709, 911, 684, 153
• GCD of 106, 520, 442, 296
• GCD of 794, 589, 108, 597
• GCD of 768, 864, 822, 277

Given numbers are 975, 545, 369, 840
The greatest common divisor of numbers 975, 545, 369, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 545, 369, 840 is 1.

1. What is the GCD of 975, 545, 369, 840?

GCD of given numbers 975, 545, 369, 840 is 1

2. How to calculate the greatest common divisor of 975, 545, 369, 840?

We can find the highest common divisor of 975, 545, 369, 840 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 975, 545, 369, 840 i.e 1.

3. How can I use the GCD of 975, 545, 369, 840Calculator?

Out the numbers 975, 545, 369, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.