GCD of 960, 900, 682, 731 Calculator

Given Input numbers are 960, 900, 682, 731

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

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

GCD of numbers is the greatest common divisor

So, the GCD (960, 900, 682, 731) = 1.

Given numbers are 960, 900, 682, 731

The list of prime factors of all numbers are

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 682 are 2 x 11 x 31

Prime factors of 731 are 17 x 43

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

Given numbers are 960, 900, 682, 731

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

Apply this formula for all numbers.

Step1:

LCM(960, 900) = 14400

GCD(960, 900) = ( 960 x 900 ) / 14400

= 960 / 900

= 960

Step2:

LCM(60, 682) = 20460

GCD(60, 682) = ( 60 x 682 ) / 20460

= 60 / 682

= 60

Step3:

LCM(2, 731) = 1462

GCD(2, 731) = ( 2 x 731 ) / 1462

= 2 / 731

= 2

So, Greatest Common Divisor of 960, 900, 682, 731 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 271, 504, 992, 227
• GCD of 457, 782, 641, 158
• GCD of 152, 832, 954, 596
• GCD of 349, 197, 230, 863
• GCD of 389, 197, 963, 435

Given numbers are 960, 900, 682, 731
The greatest common divisor of numbers 960, 900, 682, 731 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 900, 682, 731 is 1.

1. What is the GCD of 960, 900, 682, 731?

GCD of given numbers 960, 900, 682, 731 is 1

2. How to calculate the greatest common divisor of 960, 900, 682, 731?

We can find the highest common divisor of 960, 900, 682, 731 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 960, 900, 682, 731 i.e 1.

3. How can I use the GCD of 960, 900, 682, 731Calculator?

Out the numbers 960, 900, 682, 731 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.