GCD of 676, 320, 652, 892 Calculator

Given Input numbers are 676, 320, 652, 892

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

GCD of numbers is the greatest common divisor

So, the GCD (676, 320, 652, 892) = 4.

Given numbers are 676, 320, 652, 892

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 652 are 2 x 2 x 163

Prime factors of 892 are 2 x 2 x 223

The highest common occurrence is 2²

Therefore, GCD of 676, 320, 652, 892 is 4.

Given numbers are 676, 320, 652, 892

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

Apply this formula for all numbers.

Step1:

LCM(676, 320) = 54080

GCD(676, 320) = ( 676 x 320 ) / 54080

= 676 / 320

= 676

Step2:

LCM(4, 652) = 652

GCD(4, 652) = ( 4 x 652 ) / 652

= 4 / 652

= 4

Step3:

LCM(4, 892) = 892

GCD(4, 892) = ( 4 x 892 ) / 892

= 4 / 892

= 4

So, Greatest Common Divisor of 676, 320, 652, 892 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 125, 555, 765, 144
• GCD of 655, 816, 169, 542
• GCD of 375, 764, 599, 469
• GCD of 346, 509, 178, 985
• GCD of 547, 737, 582, 903

Given numbers are 676, 320, 652, 892
The greatest common divisor of numbers 676, 320, 652, 892 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 320, 652, 892 is 4.

1. What is the GCD of 676, 320, 652, 892?

GCD of given numbers 676, 320, 652, 892 is 4

2. How to calculate the greatest common divisor of 676, 320, 652, 892?

We can find the highest common divisor of 676, 320, 652, 892 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 676, 320, 652, 892 i.e 4.

3. How can I use the GCD of 676, 320, 652, 892Calculator?

Out the numbers 676, 320, 652, 892 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.