GCD of 675, 768, 429, 461 Calculator

Given Input numbers are 675, 768, 429, 461

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

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

GCD of numbers is the greatest common divisor

So, the GCD (675, 768, 429, 461) = 1.

Given numbers are 675, 768, 429, 461

The list of prime factors of all numbers are

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 429 are 3 x 11 x 13

Prime factors of 461 are 461

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

Given numbers are 675, 768, 429, 461

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

Apply this formula for all numbers.

Step1:

LCM(675, 768) = 172800

GCD(675, 768) = ( 675 x 768 ) / 172800

= 675 / 768

= 675

Step2:

LCM(3, 429) = 429

GCD(3, 429) = ( 3 x 429 ) / 429

= 3 / 429

= 3

Step3:

LCM(3, 461) = 1383

GCD(3, 461) = ( 3 x 461 ) / 1383

= 3 / 461

= 3

So, Greatest Common Divisor of 675, 768, 429, 461 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 847, 718, 905, 487
• GCD of 719, 174, 589, 639
• GCD of 511, 329, 558, 491
• GCD of 291, 932, 773, 876
• GCD of 640, 112, 512, 660

Given numbers are 675, 768, 429, 461
The greatest common divisor of numbers 675, 768, 429, 461 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 768, 429, 461 is 1.

1. What is the GCD of 675, 768, 429, 461?

GCD of given numbers 675, 768, 429, 461 is 1

2. How to calculate the greatest common divisor of 675, 768, 429, 461?

We can find the highest common divisor of 675, 768, 429, 461 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 675, 768, 429, 461 i.e 1.

3. How can I use the GCD of 675, 768, 429, 461Calculator?

Out the numbers 675, 768, 429, 461 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.