GCD of 800, 628, 776, 732 Calculator

Given Input numbers are 800, 628, 776, 732

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 776 :

The positive integer divisors of 776 that completely divides 776 are.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

GCD of numbers is the greatest common divisor

So, the GCD (800, 628, 776, 732) = 4.

Given numbers are 800, 628, 776, 732

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 628 are 2 x 2 x 157

Prime factors of 776 are 2 x 2 x 2 x 97

Prime factors of 732 are 2 x 2 x 3 x 61

The highest common occurrence is 2²

Therefore, GCD of 800, 628, 776, 732 is 4.

Given numbers are 800, 628, 776, 732

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

Apply this formula for all numbers.

Step1:

LCM(800, 628) = 125600

GCD(800, 628) = ( 800 x 628 ) / 125600

= 800 / 628

= 800

Step2:

LCM(4, 776) = 776

GCD(4, 776) = ( 4 x 776 ) / 776

= 4 / 776

= 4

Step3:

LCM(4, 732) = 732

GCD(4, 732) = ( 4 x 732 ) / 732

= 4 / 732

= 4

So, Greatest Common Divisor of 800, 628, 776, 732 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 572, 354, 517, 750
• GCD of 431, 254, 926, 472
• GCD of 486, 426, 564, 632
• GCD of 153, 455, 515, 596
• GCD of 801, 194, 864, 952

Given numbers are 800, 628, 776, 732
The greatest common divisor of numbers 800, 628, 776, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 628, 776, 732 is 4.

1. What is the GCD of 800, 628, 776, 732?

GCD of given numbers 800, 628, 776, 732 is 4

2. How to calculate the greatest common divisor of 800, 628, 776, 732?

We can find the highest common divisor of 800, 628, 776, 732 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 800, 628, 776, 732 i.e 4.

3. How can I use the GCD of 800, 628, 776, 732Calculator?

Out the numbers 800, 628, 776, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.