GCD of 392, 721, 658 Calculator

Given Input numbers are 392, 721, 658

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

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

GCD of numbers is the greatest common divisor

So, the GCD (392, 721, 658) = 7.

Given numbers are 392, 721, 658

The list of prime factors of all numbers are

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 721 are 7 x 103

Prime factors of 658 are 2 x 7 x 47

The highest common occurrence is 7¹

Therefore, GCD of 392, 721, 658 is 7.

Given numbers are 392, 721, 658

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

Apply this formula for all numbers.

Step1:

LCM(392, 721) = 40376

GCD(392, 721) = ( 392 x 721 ) / 40376

= 392 / 721

= 392

Step2:

LCM(7, 658) = 658

GCD(7, 658) = ( 7 x 658 ) / 658

= 7 / 658

= 7

So, Greatest Common Divisor of 392, 721, 658 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 500, 511, 385
• GCD of 332, 268, 362
• GCD of 633, 659, 509
• GCD of 316, 409, 390
• GCD of 694, 155, 490

Given numbers are 392, 721, 658
The greatest common divisor of numbers 392, 721, 658 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 392, 721, 658 is 7.

1. What is the GCD of 392, 721, 658?

GCD of given numbers 392, 721, 658 is 7

2. How to calculate the greatest common divisor of 392, 721, 658?

We can find the highest common divisor of 392, 721, 658 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 392, 721, 658 i.e 7.

3. How can I use the GCD of 392, 721, 658Calculator?

Out the numbers 392, 721, 658 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.