GCD of 509, 740, 377, 748 Calculator

Given Input numbers are 509, 740, 377, 748

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

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 377 :

The positive integer divisors of 377 that completely divides 377 are.

1, 13, 29, 377

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 (509, 740, 377, 748) = 1.

Given numbers are 509, 740, 377, 748

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 377 are 13 x 29

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 509, 740, 377, 748

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

Apply this formula for all numbers.

Step1:

LCM(509, 740) = 376660

GCD(509, 740) = ( 509 x 740 ) / 376660

= 509 / 740

= 509

Step2:

LCM(1, 377) = 377

GCD(1, 377) = ( 1 x 377 ) / 377

= 1 / 377

= 1

Step3:

LCM(1, 748) = 748

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

= 1 / 748

= 1

So, Greatest Common Divisor of 509, 740, 377, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 752, 318, 608, 825
• GCD of 908, 358, 947, 399
• GCD of 369, 137, 167, 147
• GCD of 157, 954, 854, 332
• GCD of 677, 618, 184, 780

Given numbers are 509, 740, 377, 748
The greatest common divisor of numbers 509, 740, 377, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 740, 377, 748 is 1.

1. What is the GCD of 509, 740, 377, 748?

GCD of given numbers 509, 740, 377, 748 is 1

2. How to calculate the greatest common divisor of 509, 740, 377, 748?

We can find the highest common divisor of 509, 740, 377, 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 509, 740, 377, 748 i.e 1.

3. How can I use the GCD of 509, 740, 377, 748Calculator?

Out the numbers 509, 740, 377, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.