GCD of 872, 429, 975, 343 Calculator

Given Input numbers are 872, 429, 975, 343

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

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 429 :

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

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

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 343 :

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

1, 7, 49, 343

GCD of numbers is the greatest common divisor

So, the GCD (872, 429, 975, 343) = 1.

Given numbers are 872, 429, 975, 343

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 429 are 3 x 11 x 13

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 343 are 7 x 7 x 7

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

Given numbers are 872, 429, 975, 343

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

Apply this formula for all numbers.

Step1:

LCM(872, 429) = 374088

GCD(872, 429) = ( 872 x 429 ) / 374088

= 872 / 429

= 872

Step2:

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

= 1 / 975

= 1

Step3:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1

So, Greatest Common Divisor of 872, 429, 975, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 175, 297, 532, 914
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Given numbers are 872, 429, 975, 343
The greatest common divisor of numbers 872, 429, 975, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 429, 975, 343 is 1.

1. What is the GCD of 872, 429, 975, 343?

GCD of given numbers 872, 429, 975, 343 is 1

2. How to calculate the greatest common divisor of 872, 429, 975, 343?

We can find the highest common divisor of 872, 429, 975, 343 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 872, 429, 975, 343 i.e 1.

3. How can I use the GCD of 872, 429, 975, 343Calculator?

Out the numbers 872, 429, 975, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.