GCD of 735, 692, 402, 966 Calculator

Given Input numbers are 735, 692, 402, 966

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

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

GCD of numbers is the greatest common divisor

So, the GCD (735, 692, 402, 966) = 1.

Given numbers are 735, 692, 402, 966

The list of prime factors of all numbers are

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 692 are 2 x 2 x 173

Prime factors of 402 are 2 x 3 x 67

Prime factors of 966 are 2 x 3 x 7 x 23

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

Given numbers are 735, 692, 402, 966

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

Apply this formula for all numbers.

Step1:

LCM(735, 692) = 508620

GCD(735, 692) = ( 735 x 692 ) / 508620

= 735 / 692

= 735

Step2:

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

= 1 / 402

= 1

Step3:

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

= 1 / 966

= 1

So, Greatest Common Divisor of 735, 692, 402, 966 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 474, 137, 523, 976
• GCD of 475, 565, 821, 229
• GCD of 563, 860, 736, 206
• GCD of 800, 189, 269, 252
• GCD of 222, 393, 332, 126

Given numbers are 735, 692, 402, 966
The greatest common divisor of numbers 735, 692, 402, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 692, 402, 966 is 1.

1. What is the GCD of 735, 692, 402, 966?

GCD of given numbers 735, 692, 402, 966 is 1

2. How to calculate the greatest common divisor of 735, 692, 402, 966?

We can find the highest common divisor of 735, 692, 402, 966 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 735, 692, 402, 966 i.e 1.

3. How can I use the GCD of 735, 692, 402, 966Calculator?

Out the numbers 735, 692, 402, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.