GCD of 722, 262, 498, 267 Calculator

Given Input numbers are 722, 262, 498, 267

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

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

GCD of numbers is the greatest common divisor

So, the GCD (722, 262, 498, 267) = 1.

Given numbers are 722, 262, 498, 267

The list of prime factors of all numbers are

Prime factors of 722 are 2 x 19 x 19

Prime factors of 262 are 2 x 131

Prime factors of 498 are 2 x 3 x 83

Prime factors of 267 are 3 x 89

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

Given numbers are 722, 262, 498, 267

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

Apply this formula for all numbers.

Step1:

LCM(722, 262) = 94582

GCD(722, 262) = ( 722 x 262 ) / 94582

= 722 / 262

= 722

Step2:

LCM(2, 498) = 498

GCD(2, 498) = ( 2 x 498 ) / 498

= 2 / 498

= 2

Step3:

LCM(2, 267) = 534

GCD(2, 267) = ( 2 x 267 ) / 534

= 2 / 267

= 2

So, Greatest Common Divisor of 722, 262, 498, 267 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 181, 441, 280, 917
• GCD of 252, 902, 954, 502
• GCD of 267, 582, 570, 621
• GCD of 336, 158, 438, 731
• GCD of 864, 971, 748, 813

Given numbers are 722, 262, 498, 267
The greatest common divisor of numbers 722, 262, 498, 267 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 262, 498, 267 is 1.

1. What is the GCD of 722, 262, 498, 267?

GCD of given numbers 722, 262, 498, 267 is 1

2. How to calculate the greatest common divisor of 722, 262, 498, 267?

We can find the highest common divisor of 722, 262, 498, 267 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 722, 262, 498, 267 i.e 1.

3. How can I use the GCD of 722, 262, 498, 267Calculator?

Out the numbers 722, 262, 498, 267 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.