GCD of 429, 180, 760, 461 Calculator

Given Input numbers are 429, 180, 760, 461

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

Divisors of 429 :

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

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

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 (429, 180, 760, 461) = 1.

Given numbers are 429, 180, 760, 461

The list of prime factors of all numbers are

Prime factors of 429 are 3 x 11 x 13

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 461 are 461

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

Given numbers are 429, 180, 760, 461

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

Apply this formula for all numbers.

Step1:

LCM(429, 180) = 25740

GCD(429, 180) = ( 429 x 180 ) / 25740

= 429 / 180

= 429

Step2:

LCM(3, 760) = 2280

GCD(3, 760) = ( 3 x 760 ) / 2280

= 3 / 760

= 3

Step3:

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

= 1 / 461

= 1

So, Greatest Common Divisor of 429, 180, 760, 461 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 456, 800, 998, 533
• GCD of 201, 378, 293, 430
• GCD of 329, 170, 369, 909
• GCD of 422, 479, 734, 247
• GCD of 459, 343, 623, 315

Given numbers are 429, 180, 760, 461
The greatest common divisor of numbers 429, 180, 760, 461 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 180, 760, 461 is 1.

1. What is the GCD of 429, 180, 760, 461?

GCD of given numbers 429, 180, 760, 461 is 1

2. How to calculate the greatest common divisor of 429, 180, 760, 461?

We can find the highest common divisor of 429, 180, 760, 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 429, 180, 760, 461 i.e 1.

3. How can I use the GCD of 429, 180, 760, 461Calculator?

Out the numbers 429, 180, 760, 461 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.