GCD of 493, 952, 697, 425 Calculator

Given Input numbers are 493, 952, 697, 425

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

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

Divisors of 425 :

The positive integer divisors of 425 that completely divides 425 are.

1, 5, 17, 25, 85, 425

GCD of numbers is the greatest common divisor

So, the GCD (493, 952, 697, 425) = 17.

Given numbers are 493, 952, 697, 425

The list of prime factors of all numbers are

Prime factors of 493 are 17 x 29

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 697 are 17 x 41

Prime factors of 425 are 5 x 5 x 17

The highest common occurrence is 17¹

Therefore, GCD of 493, 952, 697, 425 is 17.

Given numbers are 493, 952, 697, 425

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

Apply this formula for all numbers.

Step1:

LCM(493, 952) = 27608

GCD(493, 952) = ( 493 x 952 ) / 27608

= 493 / 952

= 493

Step2:

LCM(17, 697) = 697

GCD(17, 697) = ( 17 x 697 ) / 697

= 17 / 697

= 17

Step3:

LCM(17, 425) = 425

GCD(17, 425) = ( 17 x 425 ) / 425

= 17 / 425

= 17

So, Greatest Common Divisor of 493, 952, 697, 425 is 17

Here are some samples of GCD of Numbers calculations.

• GCD of 800, 636, 642, 466
• GCD of 211, 500, 331, 583
• GCD of 570, 556, 213, 252
• GCD of 394, 545, 938, 720
• GCD of 865, 649, 948, 358

Given numbers are 493, 952, 697, 425
The greatest common divisor of numbers 493, 952, 697, 425 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 952, 697, 425 is 17.

1. What is the GCD of 493, 952, 697, 425?

GCD of given numbers 493, 952, 697, 425 is 17

2. How to calculate the greatest common divisor of 493, 952, 697, 425?

We can find the highest common divisor of 493, 952, 697, 425 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 493, 952, 697, 425 i.e 17.

3. How can I use the GCD of 493, 952, 697, 425Calculator?

Out the numbers 493, 952, 697, 425 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.