GCD of 742, 725, 271, 497 Calculator

Given Input numbers are 742, 725, 271, 497

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

Divisors of 742 :

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

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

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271

Divisors of 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

GCD of numbers is the greatest common divisor

So, the GCD (742, 725, 271, 497) = 1.

Given numbers are 742, 725, 271, 497

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 725 are 5 x 5 x 29

Prime factors of 271 are 271

Prime factors of 497 are 7 x 71

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

Given numbers are 742, 725, 271, 497

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

Apply this formula for all numbers.

Step1:

LCM(742, 725) = 537950

GCD(742, 725) = ( 742 x 725 ) / 537950

= 742 / 725

= 742

Step2:

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

= 1 / 271

= 1

Step3:

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

= 1 / 497

= 1

So, Greatest Common Divisor of 742, 725, 271, 497 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 982, 347, 498, 239
• GCD of 285, 909, 408, 613
• GCD of 526, 405, 297, 490
• GCD of 334, 114, 510, 459
• GCD of 828, 113, 794, 999

Given numbers are 742, 725, 271, 497
The greatest common divisor of numbers 742, 725, 271, 497 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 725, 271, 497 is 1.

1. What is the GCD of 742, 725, 271, 497?

GCD of given numbers 742, 725, 271, 497 is 1

2. How to calculate the greatest common divisor of 742, 725, 271, 497?

We can find the highest common divisor of 742, 725, 271, 497 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 742, 725, 271, 497 i.e 1.

3. How can I use the GCD of 742, 725, 271, 497Calculator?

Out the numbers 742, 725, 271, 497 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.