GCD of 567, 761, 343, 338 Calculator

Given Input numbers are 567, 761, 343, 338

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

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 761 :

The positive integer divisors of 761 that completely divides 761 are.

1, 761

Divisors of 343 :

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

1, 7, 49, 343

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (567, 761, 343, 338) = 1.

Given numbers are 567, 761, 343, 338

The list of prime factors of all numbers are

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

Prime factors of 761 are 761

Prime factors of 343 are 7 x 7 x 7

Prime factors of 338 are 2 x 13 x 13

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

Given numbers are 567, 761, 343, 338

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

Apply this formula for all numbers.

Step1:

LCM(567, 761) = 431487

GCD(567, 761) = ( 567 x 761 ) / 431487

= 567 / 761

= 567

Step2:

LCM(1, 343) = 343

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

= 1 / 343

= 1

Step3:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1

So, Greatest Common Divisor of 567, 761, 343, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 195, 186, 400, 647
• GCD of 736, 912, 569, 561
• GCD of 469, 628, 385, 854
• GCD of 420, 604, 753, 127
• GCD of 952, 741, 612, 622

Given numbers are 567, 761, 343, 338
The greatest common divisor of numbers 567, 761, 343, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 761, 343, 338 is 1.

1. What is the GCD of 567, 761, 343, 338?

GCD of given numbers 567, 761, 343, 338 is 1

2. How to calculate the greatest common divisor of 567, 761, 343, 338?

We can find the highest common divisor of 567, 761, 343, 338 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 567, 761, 343, 338 i.e 1.

3. How can I use the GCD of 567, 761, 343, 338Calculator?

Out the numbers 567, 761, 343, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.