GCD of 782, 275, 561, 840 Calculator

Given Input numbers are 782, 275, 561, 840

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

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 275 :

The positive integer divisors of 275 that completely divides 275 are.

1, 5, 11, 25, 55, 275

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

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

GCD of numbers is the greatest common divisor

So, the GCD (782, 275, 561, 840) = 1.

Given numbers are 782, 275, 561, 840

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 275 are 5 x 5 x 11

Prime factors of 561 are 3 x 11 x 17

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

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

Given numbers are 782, 275, 561, 840

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

Apply this formula for all numbers.

Step1:

LCM(782, 275) = 215050

GCD(782, 275) = ( 782 x 275 ) / 215050

= 782 / 275

= 782

Step2:

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

= 1 / 561

= 1

Step3:

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

= 1 / 840

= 1

So, Greatest Common Divisor of 782, 275, 561, 840 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 128, 638, 900, 972
• GCD of 435, 354, 802, 676
• GCD of 200, 890, 412, 257
• GCD of 807, 679, 109, 640
• GCD of 257, 692, 702, 903

Given numbers are 782, 275, 561, 840
The greatest common divisor of numbers 782, 275, 561, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 275, 561, 840 is 1.

1. What is the GCD of 782, 275, 561, 840?

GCD of given numbers 782, 275, 561, 840 is 1

2. How to calculate the greatest common divisor of 782, 275, 561, 840?

We can find the highest common divisor of 782, 275, 561, 840 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 782, 275, 561, 840 i.e 1.

3. How can I use the GCD of 782, 275, 561, 840Calculator?

Out the numbers 782, 275, 561, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.