GCD of 105, 709, 429, 214 Calculator

Given Input numbers are 105, 709, 429, 214

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

Divisors of 429 :

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

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

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (105, 709, 429, 214) = 1.

Given numbers are 105, 709, 429, 214

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 709 are 709

Prime factors of 429 are 3 x 11 x 13

Prime factors of 214 are 2 x 107

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

Given numbers are 105, 709, 429, 214

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

Apply this formula for all numbers.

Step1:

LCM(105, 709) = 74445

GCD(105, 709) = ( 105 x 709 ) / 74445

= 105 / 709

= 105

Step2:

LCM(1, 429) = 429

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

= 1 / 429

= 1

Step3:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

So, Greatest Common Divisor of 105, 709, 429, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 182, 631, 654, 248
• GCD of 879, 178, 284, 429
• GCD of 540, 699, 236, 899
• GCD of 909, 809, 657, 300
• GCD of 617, 181, 134, 145

Given numbers are 105, 709, 429, 214
The greatest common divisor of numbers 105, 709, 429, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 709, 429, 214 is 1.

1. What is the GCD of 105, 709, 429, 214?

GCD of given numbers 105, 709, 429, 214 is 1

2. How to calculate the greatest common divisor of 105, 709, 429, 214?

We can find the highest common divisor of 105, 709, 429, 214 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 105, 709, 429, 214 i.e 1.

3. How can I use the GCD of 105, 709, 429, 214Calculator?

Out the numbers 105, 709, 429, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.