GCD of 705, 738, 853, 964 Calculator

Given Input numbers are 705, 738, 853, 964

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

Divisors of 705 :

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

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 853 :

The positive integer divisors of 853 that completely divides 853 are.

1, 853

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

GCD of numbers is the greatest common divisor

So, the GCD (705, 738, 853, 964) = 1.

Given numbers are 705, 738, 853, 964

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 853 are 853

Prime factors of 964 are 2 x 2 x 241

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

Given numbers are 705, 738, 853, 964

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

Apply this formula for all numbers.

Step1:

LCM(705, 738) = 173430

GCD(705, 738) = ( 705 x 738 ) / 173430

= 705 / 738

= 705

Step2:

LCM(3, 853) = 2559

GCD(3, 853) = ( 3 x 853 ) / 2559

= 3 / 853

= 3

Step3:

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

= 1 / 964

= 1

So, Greatest Common Divisor of 705, 738, 853, 964 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 905, 117, 701, 440
• GCD of 723, 990, 355, 905
• GCD of 345, 513, 759, 112
• GCD of 821, 527, 969, 524
• GCD of 145, 859, 394, 632

Given numbers are 705, 738, 853, 964
The greatest common divisor of numbers 705, 738, 853, 964 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 738, 853, 964 is 1.

1. What is the GCD of 705, 738, 853, 964?

GCD of given numbers 705, 738, 853, 964 is 1

2. How to calculate the greatest common divisor of 705, 738, 853, 964?

We can find the highest common divisor of 705, 738, 853, 964 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 705, 738, 853, 964 i.e 1.

3. How can I use the GCD of 705, 738, 853, 964Calculator?

Out the numbers 705, 738, 853, 964 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.