GCD of 762, 457, 429, 420 Calculator

Given Input numbers are 762, 457, 429, 420

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

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 457 :

The positive integer divisors of 457 that completely divides 457 are.

1, 457

Divisors of 429 :

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

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

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (762, 457, 429, 420) = 1.

Given numbers are 762, 457, 429, 420

The list of prime factors of all numbers are

Prime factors of 762 are 2 x 3 x 127

Prime factors of 457 are 457

Prime factors of 429 are 3 x 11 x 13

Prime factors of 420 are 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 762, 457, 429, 420

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

Apply this formula for all numbers.

Step1:

LCM(762, 457) = 348234

GCD(762, 457) = ( 762 x 457 ) / 348234

= 762 / 457

= 762

Step2:

LCM(1, 429) = 429

GCD(1, 429) = ( 1 x 429 ) / 429

= 1 / 429

= 1

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 762, 457, 429, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 502, 408, 131, 268
• GCD of 375, 368, 762, 301
• GCD of 203, 632, 926, 578
• GCD of 708, 845, 233, 612
• GCD of 992, 237, 280, 117

Given numbers are 762, 457, 429, 420
The greatest common divisor of numbers 762, 457, 429, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 762, 457, 429, 420 is 1.

1. What is the GCD of 762, 457, 429, 420?

GCD of given numbers 762, 457, 429, 420 is 1

2. How to calculate the greatest common divisor of 762, 457, 429, 420?

We can find the highest common divisor of 762, 457, 429, 420 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 762, 457, 429, 420 i.e 1.

3. How can I use the GCD of 762, 457, 429, 420Calculator?

Out the numbers 762, 457, 429, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.