GCD of 252, 267, 290, 343 Calculator

Given Input numbers are 252, 267, 290, 343

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

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 267 :

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

1, 3, 89, 267

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

GCD of numbers is the greatest common divisor

So, the GCD (252, 267, 290, 343) = 1.

Given numbers are 252, 267, 290, 343

The list of prime factors of all numbers are

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 267 are 3 x 89

Prime factors of 290 are 2 x 5 x 29

Prime factors of 343 are 7 x 7 x 7

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

Given numbers are 252, 267, 290, 343

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

Apply this formula for all numbers.

Step1:

LCM(252, 267) = 22428

GCD(252, 267) = ( 252 x 267 ) / 22428

= 252 / 267

= 252

Step2:

LCM(3, 290) = 870

GCD(3, 290) = ( 3 x 290 ) / 870

= 3 / 290

= 3

Step3:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1

So, Greatest Common Divisor of 252, 267, 290, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 616, 315, 339, 624
• GCD of 154, 559, 473, 727
• GCD of 366, 874, 178, 715
• GCD of 249, 182, 887, 644
• GCD of 736, 886, 403, 909

Given numbers are 252, 267, 290, 343
The greatest common divisor of numbers 252, 267, 290, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 267, 290, 343 is 1.

1. What is the GCD of 252, 267, 290, 343?

GCD of given numbers 252, 267, 290, 343 is 1

2. How to calculate the greatest common divisor of 252, 267, 290, 343?

We can find the highest common divisor of 252, 267, 290, 343 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 252, 267, 290, 343 i.e 1.

3. How can I use the GCD of 252, 267, 290, 343Calculator?

Out the numbers 252, 267, 290, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.