GCD of 565, 506, 674, 748 Calculator

Given Input numbers are 565, 506, 674, 748

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

Divisors of 565 :

The positive integer divisors of 565 that completely divides 565 are.

1, 5, 113, 565

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (565, 506, 674, 748) = 1.

Given numbers are 565, 506, 674, 748

The list of prime factors of all numbers are

Prime factors of 565 are 5 x 113

Prime factors of 506 are 2 x 11 x 23

Prime factors of 674 are 2 x 337

Prime factors of 748 are 2 x 2 x 11 x 17

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

Given numbers are 565, 506, 674, 748

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

Apply this formula for all numbers.

Step1:

LCM(565, 506) = 285890

GCD(565, 506) = ( 565 x 506 ) / 285890

= 565 / 506

= 565

Step2:

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

= 1 / 674

= 1

Step3:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

So, Greatest Common Divisor of 565, 506, 674, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 727, 573, 826, 195
• GCD of 934, 670, 631, 482
• GCD of 510, 894, 931, 426
• GCD of 266, 185, 863, 575
• GCD of 863, 697, 325, 326

Given numbers are 565, 506, 674, 748
The greatest common divisor of numbers 565, 506, 674, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 565, 506, 674, 748 is 1.

1. What is the GCD of 565, 506, 674, 748?

GCD of given numbers 565, 506, 674, 748 is 1

2. How to calculate the greatest common divisor of 565, 506, 674, 748?

We can find the highest common divisor of 565, 506, 674, 748 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 565, 506, 674, 748 i.e 1.

3. How can I use the GCD of 565, 506, 674, 748Calculator?

Out the numbers 565, 506, 674, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.