GCD of 749, 560, 709, 520 Calculator

Given Input numbers are 749, 560, 709, 520

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

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

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 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

GCD of numbers is the greatest common divisor

So, the GCD (749, 560, 709, 520) = 1.

Given numbers are 749, 560, 709, 520

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

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

Prime factors of 709 are 709

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

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

Given numbers are 749, 560, 709, 520

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

Apply this formula for all numbers.

Step1:

LCM(749, 560) = 59920

GCD(749, 560) = ( 749 x 560 ) / 59920

= 749 / 560

= 749

Step2:

LCM(7, 709) = 4963

GCD(7, 709) = ( 7 x 709 ) / 4963

= 7 / 709

= 7

Step3:

LCM(1, 520) = 520

GCD(1, 520) = ( 1 x 520 ) / 520

= 1 / 520

= 1

So, Greatest Common Divisor of 749, 560, 709, 520 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 582, 496, 671, 688
• GCD of 629, 192, 593, 611
• GCD of 830, 877, 711, 851
• GCD of 405, 838, 961, 420
• GCD of 543, 109, 867, 762

Given numbers are 749, 560, 709, 520
The greatest common divisor of numbers 749, 560, 709, 520 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 560, 709, 520 is 1.

1. What is the GCD of 749, 560, 709, 520?

GCD of given numbers 749, 560, 709, 520 is 1

2. How to calculate the greatest common divisor of 749, 560, 709, 520?

We can find the highest common divisor of 749, 560, 709, 520 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 749, 560, 709, 520 i.e 1.

3. How can I use the GCD of 749, 560, 709, 520Calculator?

Out the numbers 749, 560, 709, 520 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.