GCD of 429, 914, 675, 784 Calculator

Given Input numbers are 429, 914, 675, 784

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 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

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 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

GCD of numbers is the greatest common divisor

So, the GCD (429, 914, 675, 784) = 1.

Given numbers are 429, 914, 675, 784

The list of prime factors of all numbers are

Prime factors of 429 are 3 x 11 x 13

Prime factors of 914 are 2 x 457

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

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

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

Given numbers are 429, 914, 675, 784

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

Apply this formula for all numbers.

Step1:

LCM(429, 914) = 392106

GCD(429, 914) = ( 429 x 914 ) / 392106

= 429 / 914

= 429

Step2:

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

= 1 / 675

= 1

Step3:

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

= 1 / 784

= 1

So, Greatest Common Divisor of 429, 914, 675, 784 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 801, 316, 233, 695
• GCD of 995, 663, 739, 296
• GCD of 980, 662, 263, 100
• GCD of 511, 168, 318, 477
• GCD of 710, 357, 412, 580

Given numbers are 429, 914, 675, 784
The greatest common divisor of numbers 429, 914, 675, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 914, 675, 784 is 1.

1. What is the GCD of 429, 914, 675, 784?

GCD of given numbers 429, 914, 675, 784 is 1

2. How to calculate the greatest common divisor of 429, 914, 675, 784?

We can find the highest common divisor of 429, 914, 675, 784 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, 914, 675, 784 i.e 1.

3. How can I use the GCD of 429, 914, 675, 784Calculator?

Out the numbers 429, 914, 675, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.