GCD of 740, 840, 309, 564 Calculator

Given Input numbers are 740, 840, 309, 564

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

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 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (740, 840, 309, 564) = 1.

Given numbers are 740, 840, 309, 564

The list of prime factors of all numbers are

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

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 309 are 3 x 103

Prime factors of 564 are 2 x 2 x 3 x 47

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

Given numbers are 740, 840, 309, 564

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

Apply this formula for all numbers.

Step1:

LCM(740, 840) = 31080

GCD(740, 840) = ( 740 x 840 ) / 31080

= 740 / 840

= 740

Step2:

LCM(20, 309) = 6180

GCD(20, 309) = ( 20 x 309 ) / 6180

= 20 / 309

= 20

Step3:

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

= 1 / 564

= 1

So, Greatest Common Divisor of 740, 840, 309, 564 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 503, 699, 260, 726
• GCD of 434, 370, 108, 483
• GCD of 791, 878, 319, 706
• GCD of 873, 621, 673, 455
• GCD of 326, 347, 414, 105

Given numbers are 740, 840, 309, 564
The greatest common divisor of numbers 740, 840, 309, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 740, 840, 309, 564 is 1.

1. What is the GCD of 740, 840, 309, 564?

GCD of given numbers 740, 840, 309, 564 is 1

2. How to calculate the greatest common divisor of 740, 840, 309, 564?

We can find the highest common divisor of 740, 840, 309, 564 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 740, 840, 309, 564 i.e 1.

3. How can I use the GCD of 740, 840, 309, 564Calculator?

Out the numbers 740, 840, 309, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.