GCD of 129, 120, 343, 958 Calculator

Given Input numbers are 129, 120, 343, 958

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 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

GCD of numbers is the greatest common divisor

So, the GCD (129, 120, 343, 958) = 1.

Given numbers are 129, 120, 343, 958

The list of prime factors of all numbers are

Prime factors of 129 are 3 x 43

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 343 are 7 x 7 x 7

Prime factors of 958 are 2 x 479

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

Given numbers are 129, 120, 343, 958

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

Apply this formula for all numbers.

Step1:

LCM(129, 120) = 5160

GCD(129, 120) = ( 129 x 120 ) / 5160

= 129 / 120

= 129

Step2:

LCM(3, 343) = 1029

GCD(3, 343) = ( 3 x 343 ) / 1029

= 3 / 343

= 3

Step3:

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

= 1 / 958

= 1

So, Greatest Common Divisor of 129, 120, 343, 958 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 542, 811, 674, 928
• GCD of 838, 785, 828, 504
• GCD of 692, 798, 623, 315
• GCD of 979, 494, 630, 892
• GCD of 865, 776, 110, 257

Given numbers are 129, 120, 343, 958
The greatest common divisor of numbers 129, 120, 343, 958 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 129, 120, 343, 958 is 1.

1. What is the GCD of 129, 120, 343, 958?

GCD of given numbers 129, 120, 343, 958 is 1

2. How to calculate the greatest common divisor of 129, 120, 343, 958?

We can find the highest common divisor of 129, 120, 343, 958 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, 120, 343, 958 i.e 1.

3. How can I use the GCD of 129, 120, 343, 958Calculator?

Out the numbers 129, 120, 343, 958 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.