GCD of 892, 567, 749, 721 Calculator

Given Input numbers are 892, 567, 749, 721

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

Divisors of 892 :

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

1, 2, 4, 223, 446, 892

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

GCD of numbers is the greatest common divisor

So, the GCD (892, 567, 749, 721) = 1.

Given numbers are 892, 567, 749, 721

The list of prime factors of all numbers are

Prime factors of 892 are 2 x 2 x 223

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

Prime factors of 749 are 7 x 107

Prime factors of 721 are 7 x 103

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

Given numbers are 892, 567, 749, 721

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

Apply this formula for all numbers.

Step1:

LCM(892, 567) = 505764

GCD(892, 567) = ( 892 x 567 ) / 505764

= 892 / 567

= 892

Step2:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1

Step3:

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

= 1 / 721

= 1

So, Greatest Common Divisor of 892, 567, 749, 721 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 996, 840, 893, 554
• GCD of 154, 219, 147, 530
• GCD of 898, 543, 925, 615
• GCD of 954, 247, 498, 308
• GCD of 527, 642, 215, 747

Given numbers are 892, 567, 749, 721
The greatest common divisor of numbers 892, 567, 749, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 892, 567, 749, 721 is 1.

1. What is the GCD of 892, 567, 749, 721?

GCD of given numbers 892, 567, 749, 721 is 1

2. How to calculate the greatest common divisor of 892, 567, 749, 721?

We can find the highest common divisor of 892, 567, 749, 721 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 892, 567, 749, 721 i.e 1.

3. How can I use the GCD of 892, 567, 749, 721Calculator?

Out the numbers 892, 567, 749, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.