GCD of 129, 214, 490, 745 Calculator

Given Input numbers are 129, 214, 490, 745

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

Divisors of 129 :

The positive integer divisors of 129 that completely divides 129 are.

1, 3, 43, 129

Divisors of 214 :

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

1, 2, 107, 214

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

GCD of numbers is the greatest common divisor

So, the GCD (129, 214, 490, 745) = 1.

Given numbers are 129, 214, 490, 745

The list of prime factors of all numbers are

Prime factors of 129 are 3 x 43

Prime factors of 214 are 2 x 107

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 745 are 5 x 149

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

Given numbers are 129, 214, 490, 745

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

Apply this formula for all numbers.

Step1:

LCM(129, 214) = 27606

GCD(129, 214) = ( 129 x 214 ) / 27606

= 129 / 214

= 129

Step2:

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

= 1 / 490

= 1

Step3:

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

= 1 / 745

= 1

So, Greatest Common Divisor of 129, 214, 490, 745 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 799, 436, 922, 490
• GCD of 131, 643, 191, 729
• GCD of 824, 269, 856, 829
• GCD of 594, 576, 709, 930
• GCD of 215, 160, 945, 366

Given numbers are 129, 214, 490, 745
The greatest common divisor of numbers 129, 214, 490, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 129, 214, 490, 745 is 1.

1. What is the GCD of 129, 214, 490, 745?

GCD of given numbers 129, 214, 490, 745 is 1

2. How to calculate the greatest common divisor of 129, 214, 490, 745?

We can find the highest common divisor of 129, 214, 490, 745 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 129, 214, 490, 745 i.e 1.

3. How can I use the GCD of 129, 214, 490, 745Calculator?

Out the numbers 129, 214, 490, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.