GCD of 734, 356, 507, 272 Calculator

Given Input numbers are 734, 356, 507, 272

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

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

GCD of numbers is the greatest common divisor

So, the GCD (734, 356, 507, 272) = 1.

Given numbers are 734, 356, 507, 272

The list of prime factors of all numbers are

Prime factors of 734 are 2 x 367

Prime factors of 356 are 2 x 2 x 89

Prime factors of 507 are 3 x 13 x 13

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

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

Given numbers are 734, 356, 507, 272

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

Apply this formula for all numbers.

Step1:

LCM(734, 356) = 130652

GCD(734, 356) = ( 734 x 356 ) / 130652

= 734 / 356

= 734

Step2:

LCM(2, 507) = 1014

GCD(2, 507) = ( 2 x 507 ) / 1014

= 2 / 507

= 2

Step3:

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

= 1 / 272

= 1

So, Greatest Common Divisor of 734, 356, 507, 272 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 953, 327, 878, 226
• GCD of 995, 485, 644, 696
• GCD of 661, 296, 312, 971
• GCD of 442, 484, 553, 512
• GCD of 632, 974, 207, 225

Given numbers are 734, 356, 507, 272
The greatest common divisor of numbers 734, 356, 507, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 356, 507, 272 is 1.

1. What is the GCD of 734, 356, 507, 272?

GCD of given numbers 734, 356, 507, 272 is 1

2. How to calculate the greatest common divisor of 734, 356, 507, 272?

We can find the highest common divisor of 734, 356, 507, 272 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 734, 356, 507, 272 i.e 1.

3. How can I use the GCD of 734, 356, 507, 272Calculator?

Out the numbers 734, 356, 507, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.