GCD of 724, 682, 461, 967 Calculator

Given Input numbers are 724, 682, 461, 967

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

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

Divisors of 967 :

The positive integer divisors of 967 that completely divides 967 are.

1, 967

GCD of numbers is the greatest common divisor

So, the GCD (724, 682, 461, 967) = 1.

Given numbers are 724, 682, 461, 967

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 682 are 2 x 11 x 31

Prime factors of 461 are 461

Prime factors of 967 are 967

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

Given numbers are 724, 682, 461, 967

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

Apply this formula for all numbers.

Step1:

LCM(724, 682) = 246884

GCD(724, 682) = ( 724 x 682 ) / 246884

= 724 / 682

= 724

Step2:

LCM(2, 461) = 922

GCD(2, 461) = ( 2 x 461 ) / 922

= 2 / 461

= 2

Step3:

LCM(1, 967) = 967

GCD(1, 967) = ( 1 x 967 ) / 967

= 1 / 967

= 1

So, Greatest Common Divisor of 724, 682, 461, 967 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 603, 249, 902, 224
• GCD of 447, 659, 298, 175
• GCD of 140, 265, 961, 140
• GCD of 306, 676, 775, 817
• GCD of 903, 424, 397, 947

Given numbers are 724, 682, 461, 967
The greatest common divisor of numbers 724, 682, 461, 967 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 682, 461, 967 is 1.

1. What is the GCD of 724, 682, 461, 967?

GCD of given numbers 724, 682, 461, 967 is 1

2. How to calculate the greatest common divisor of 724, 682, 461, 967?

We can find the highest common divisor of 724, 682, 461, 967 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 724, 682, 461, 967 i.e 1.

3. How can I use the GCD of 724, 682, 461, 967Calculator?

Out the numbers 724, 682, 461, 967 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.