GCD of 560, 913, 742, 838 Calculator

Given Input numbers are 560, 913, 742, 838

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

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 913 :

The positive integer divisors of 913 that completely divides 913 are.

1, 11, 83, 913

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

GCD of numbers is the greatest common divisor

So, the GCD (560, 913, 742, 838) = 1.

Given numbers are 560, 913, 742, 838

The list of prime factors of all numbers are

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 913 are 11 x 83

Prime factors of 742 are 2 x 7 x 53

Prime factors of 838 are 2 x 419

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

Given numbers are 560, 913, 742, 838

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

Apply this formula for all numbers.

Step1:

LCM(560, 913) = 511280

GCD(560, 913) = ( 560 x 913 ) / 511280

= 560 / 913

= 560

Step2:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

Step3:

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

= 1 / 838

= 1

So, Greatest Common Divisor of 560, 913, 742, 838 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 759, 418, 661, 669
• GCD of 388, 477, 135, 341
• GCD of 479, 141, 772, 465
• GCD of 308, 803, 682, 969
• GCD of 968, 504, 317, 356

Given numbers are 560, 913, 742, 838
The greatest common divisor of numbers 560, 913, 742, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 913, 742, 838 is 1.

1. What is the GCD of 560, 913, 742, 838?

GCD of given numbers 560, 913, 742, 838 is 1

2. How to calculate the greatest common divisor of 560, 913, 742, 838?

We can find the highest common divisor of 560, 913, 742, 838 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 560, 913, 742, 838 i.e 1.

3. How can I use the GCD of 560, 913, 742, 838Calculator?

Out the numbers 560, 913, 742, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.