GCD of 713, 840, 724, 280 Calculator

Given Input numbers are 713, 840, 724, 280

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

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

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 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (713, 840, 724, 280) = 1.

Given numbers are 713, 840, 724, 280

The list of prime factors of all numbers are

Prime factors of 713 are 23 x 31

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

Prime factors of 724 are 2 x 2 x 181

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

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

Given numbers are 713, 840, 724, 280

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

Apply this formula for all numbers.

Step1:

LCM(713, 840) = 598920

GCD(713, 840) = ( 713 x 840 ) / 598920

= 713 / 840

= 713

Step2:

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

= 1 / 724

= 1

Step3:

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

= 1 / 280

= 1

So, Greatest Common Divisor of 713, 840, 724, 280 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 432, 809, 958, 527
• GCD of 862, 421, 201, 378
• GCD of 725, 164, 914, 740
• GCD of 982, 721, 334, 538
• GCD of 855, 316, 741, 718

Given numbers are 713, 840, 724, 280
The greatest common divisor of numbers 713, 840, 724, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 713, 840, 724, 280 is 1.

1. What is the GCD of 713, 840, 724, 280?

GCD of given numbers 713, 840, 724, 280 is 1

2. How to calculate the greatest common divisor of 713, 840, 724, 280?

We can find the highest common divisor of 713, 840, 724, 280 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 713, 840, 724, 280 i.e 1.

3. How can I use the GCD of 713, 840, 724, 280Calculator?

Out the numbers 713, 840, 724, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.