GCD of 343, 824, 972, 705 Calculator

Given Input numbers are 343, 824, 972, 705

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

Divisors of 343 :

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

1, 7, 49, 343

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 705 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (343, 824, 972, 705) = 1.

Given numbers are 343, 824, 972, 705

The list of prime factors of all numbers are

Prime factors of 343 are 7 x 7 x 7

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 705 are 3 x 5 x 47

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

Given numbers are 343, 824, 972, 705

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

Apply this formula for all numbers.

Step1:

LCM(343, 824) = 282632

GCD(343, 824) = ( 343 x 824 ) / 282632

= 343 / 824

= 343

Step2:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

Step3:

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

= 1 / 705

= 1

So, Greatest Common Divisor of 343, 824, 972, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 221, 136, 633, 758
• GCD of 605, 542, 938, 861
• GCD of 319, 917, 670, 561
• GCD of 334, 292, 767, 630
• GCD of 950, 405, 913, 442

Given numbers are 343, 824, 972, 705
The greatest common divisor of numbers 343, 824, 972, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 824, 972, 705 is 1.

1. What is the GCD of 343, 824, 972, 705?

GCD of given numbers 343, 824, 972, 705 is 1

2. How to calculate the greatest common divisor of 343, 824, 972, 705?

We can find the highest common divisor of 343, 824, 972, 705 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 343, 824, 972, 705 i.e 1.

3. How can I use the GCD of 343, 824, 972, 705Calculator?

Out the numbers 343, 824, 972, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.