GCD of 675, 745, 208, 498 Calculator

Given Input numbers are 675, 745, 208, 498

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

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

GCD of numbers is the greatest common divisor

So, the GCD (675, 745, 208, 498) = 1.

Given numbers are 675, 745, 208, 498

The list of prime factors of all numbers are

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 745 are 5 x 149

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 498 are 2 x 3 x 83

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

Given numbers are 675, 745, 208, 498

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

Apply this formula for all numbers.

Step1:

LCM(675, 745) = 100575

GCD(675, 745) = ( 675 x 745 ) / 100575

= 675 / 745

= 675

Step2:

LCM(5, 208) = 1040

GCD(5, 208) = ( 5 x 208 ) / 1040

= 5 / 208

= 5

Step3:

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

= 1 / 498

= 1

So, Greatest Common Divisor of 675, 745, 208, 498 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 534, 768, 100, 848
• GCD of 421, 255, 265, 286
• GCD of 537, 316, 824, 295
• GCD of 168, 367, 743, 228
• GCD of 632, 428, 923, 393

Given numbers are 675, 745, 208, 498
The greatest common divisor of numbers 675, 745, 208, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 745, 208, 498 is 1.

1. What is the GCD of 675, 745, 208, 498?

GCD of given numbers 675, 745, 208, 498 is 1

2. How to calculate the greatest common divisor of 675, 745, 208, 498?

We can find the highest common divisor of 675, 745, 208, 498 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 675, 745, 208, 498 i.e 1.

3. How can I use the GCD of 675, 745, 208, 498Calculator?

Out the numbers 675, 745, 208, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.