GCD of 700, 596, 276, 960 Calculator

Given Input numbers are 700, 596, 276, 960

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

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

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

GCD of numbers is the greatest common divisor

So, the GCD (700, 596, 276, 960) = 4.

Given numbers are 700, 596, 276, 960

The list of prime factors of all numbers are

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 596 are 2 x 2 x 149

Prime factors of 276 are 2 x 2 x 3 x 23

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

The highest common occurrence is 2²

Therefore, GCD of 700, 596, 276, 960 is 4.

Given numbers are 700, 596, 276, 960

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

Apply this formula for all numbers.

Step1:

LCM(700, 596) = 104300

GCD(700, 596) = ( 700 x 596 ) / 104300

= 700 / 596

= 700

Step2:

LCM(4, 276) = 276

GCD(4, 276) = ( 4 x 276 ) / 276

= 4 / 276

= 4

Step3:

LCM(4, 960) = 960

GCD(4, 960) = ( 4 x 960 ) / 960

= 4 / 960

= 4

So, Greatest Common Divisor of 700, 596, 276, 960 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 151, 607, 374, 426
• GCD of 989, 708, 445, 486
• GCD of 198, 848, 365, 819
• GCD of 643, 308, 610, 326
• GCD of 801, 296, 284, 337

Given numbers are 700, 596, 276, 960
The greatest common divisor of numbers 700, 596, 276, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 596, 276, 960 is 4.

1. What is the GCD of 700, 596, 276, 960?

GCD of given numbers 700, 596, 276, 960 is 4

2. How to calculate the greatest common divisor of 700, 596, 276, 960?

We can find the highest common divisor of 700, 596, 276, 960 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 700, 596, 276, 960 i.e 4.

3. How can I use the GCD of 700, 596, 276, 960Calculator?

Out the numbers 700, 596, 276, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.