GCD of 125, 423, 742, 916 Calculator

Given Input numbers are 125, 423, 742, 916

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

Divisors of 125 :

The positive integer divisors of 125 that completely divides 125 are.

1, 5, 25, 125

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (125, 423, 742, 916) = 1.

Given numbers are 125, 423, 742, 916

The list of prime factors of all numbers are

Prime factors of 125 are 5 x 5 x 5

Prime factors of 423 are 3 x 3 x 47

Prime factors of 742 are 2 x 7 x 53

Prime factors of 916 are 2 x 2 x 229

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

Given numbers are 125, 423, 742, 916

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

Apply this formula for all numbers.

Step1:

LCM(125, 423) = 52875

GCD(125, 423) = ( 125 x 423 ) / 52875

= 125 / 423

= 125

Step2:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

Step3:

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

= 1 / 916

= 1

So, Greatest Common Divisor of 125, 423, 742, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 179, 168, 731, 713
• GCD of 383, 446, 859, 247
• GCD of 466, 596, 598, 611
• GCD of 149, 925, 475, 347
• GCD of 616, 383, 742, 899

Given numbers are 125, 423, 742, 916
The greatest common divisor of numbers 125, 423, 742, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 125, 423, 742, 916 is 1.

1. What is the GCD of 125, 423, 742, 916?

GCD of given numbers 125, 423, 742, 916 is 1

2. How to calculate the greatest common divisor of 125, 423, 742, 916?

We can find the highest common divisor of 125, 423, 742, 916 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 125, 423, 742, 916 i.e 1.

3. How can I use the GCD of 125, 423, 742, 916Calculator?

Out the numbers 125, 423, 742, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.