GCD of 966, 942, 735, 981 Calculator

Given Input numbers are 966, 942, 735, 981

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

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

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

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 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

GCD of numbers is the greatest common divisor

So, the GCD (966, 942, 735, 981) = 3.

Given numbers are 966, 942, 735, 981

The list of prime factors of all numbers are

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

Prime factors of 942 are 2 x 3 x 157

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

Prime factors of 981 are 3 x 3 x 109

The highest common occurrence is 3¹

Therefore, GCD of 966, 942, 735, 981 is 3.

Given numbers are 966, 942, 735, 981

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

Apply this formula for all numbers.

Step1:

LCM(966, 942) = 151662

GCD(966, 942) = ( 966 x 942 ) / 151662

= 966 / 942

= 966

Step2:

LCM(6, 735) = 1470

GCD(6, 735) = ( 6 x 735 ) / 1470

= 6 / 735

= 6

Step3:

LCM(3, 981) = 981

GCD(3, 981) = ( 3 x 981 ) / 981

= 3 / 981

= 3

So, Greatest Common Divisor of 966, 942, 735, 981 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 914, 362, 132, 917
• GCD of 604, 127, 585, 642
• GCD of 378, 586, 731, 262
• GCD of 775, 659, 281, 892
• GCD of 491, 998, 666, 946

Given numbers are 966, 942, 735, 981
The greatest common divisor of numbers 966, 942, 735, 981 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 942, 735, 981 is 3.

1. What is the GCD of 966, 942, 735, 981?

GCD of given numbers 966, 942, 735, 981 is 3

2. How to calculate the greatest common divisor of 966, 942, 735, 981?

We can find the highest common divisor of 966, 942, 735, 981 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 966, 942, 735, 981 i.e 3.

3. How can I use the GCD of 966, 942, 735, 981Calculator?

Out the numbers 966, 942, 735, 981 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.