GCD of 960, 799, 735, 870 Calculator

Given Input numbers are 960, 799, 735, 870

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 799 :

The positive integer divisors of 799 that completely divides 799 are.

1, 17, 47, 799

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 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

GCD of numbers is the greatest common divisor

So, the GCD (960, 799, 735, 870) = 1.

Given numbers are 960, 799, 735, 870

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 799 are 17 x 47

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

Prime factors of 870 are 2 x 3 x 5 x 29

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

Given numbers are 960, 799, 735, 870

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

Apply this formula for all numbers.

Step1:

LCM(960, 799) = 767040

GCD(960, 799) = ( 960 x 799 ) / 767040

= 960 / 799

= 960

Step2:

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

= 1 / 735

= 1

Step3:

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

= 1 / 870

= 1

So, Greatest Common Divisor of 960, 799, 735, 870 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 221, 884, 327, 723
• GCD of 921, 177, 543, 741
• GCD of 998, 756, 273, 723
• GCD of 921, 550, 117, 900
• GCD of 576, 618, 812, 431

Given numbers are 960, 799, 735, 870
The greatest common divisor of numbers 960, 799, 735, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 799, 735, 870 is 1.

1. What is the GCD of 960, 799, 735, 870?

GCD of given numbers 960, 799, 735, 870 is 1

2. How to calculate the greatest common divisor of 960, 799, 735, 870?

We can find the highest common divisor of 960, 799, 735, 870 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, 799, 735, 870 i.e 1.

3. How can I use the GCD of 960, 799, 735, 870Calculator?

Out the numbers 960, 799, 735, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.