GCD of 829, 705, 708, 149 Calculator

Given Input numbers are 829, 705, 708, 149

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

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

GCD of numbers is the greatest common divisor

So, the GCD (829, 705, 708, 149) = 1.

Given numbers are 829, 705, 708, 149

The list of prime factors of all numbers are

Prime factors of 829 are 829

Prime factors of 705 are 3 x 5 x 47

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 149 are 149

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

Given numbers are 829, 705, 708, 149

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

Apply this formula for all numbers.

Step1:

LCM(829, 705) = 584445

GCD(829, 705) = ( 829 x 705 ) / 584445

= 829 / 705

= 829

Step2:

LCM(1, 708) = 708

GCD(1, 708) = ( 1 x 708 ) / 708

= 1 / 708

= 1

Step3:

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

= 1 / 149

= 1

So, Greatest Common Divisor of 829, 705, 708, 149 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 314, 724, 260, 945
• GCD of 437, 389, 331, 812
• GCD of 849, 639, 994, 487
• GCD of 597, 744, 725, 786
• GCD of 568, 457, 918, 304

Given numbers are 829, 705, 708, 149
The greatest common divisor of numbers 829, 705, 708, 149 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 829, 705, 708, 149 is 1.

1. What is the GCD of 829, 705, 708, 149?

GCD of given numbers 829, 705, 708, 149 is 1

2. How to calculate the greatest common divisor of 829, 705, 708, 149?

We can find the highest common divisor of 829, 705, 708, 149 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 829, 705, 708, 149 i.e 1.

3. How can I use the GCD of 829, 705, 708, 149Calculator?

Out the numbers 829, 705, 708, 149 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.