GCD of 675, 269, 308, 725 Calculator

Given Input numbers are 675, 269, 308, 725

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 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 725 :

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

1, 5, 25, 29, 145, 725

GCD of numbers is the greatest common divisor

So, the GCD (675, 269, 308, 725) = 1.

Given numbers are 675, 269, 308, 725

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 269 are 269

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 725 are 5 x 5 x 29

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

Given numbers are 675, 269, 308, 725

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

Apply this formula for all numbers.

Step1:

LCM(675, 269) = 181575

GCD(675, 269) = ( 675 x 269 ) / 181575

= 675 / 269

= 675

Step2:

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

= 1 / 308

= 1

Step3:

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

= 1 / 725

= 1

So, Greatest Common Divisor of 675, 269, 308, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 133, 755, 228, 494
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• GCD of 422, 357, 445, 302
• GCD of 677, 972, 361, 661
• GCD of 757, 656, 145, 616

Given numbers are 675, 269, 308, 725
The greatest common divisor of numbers 675, 269, 308, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 269, 308, 725 is 1.

1. What is the GCD of 675, 269, 308, 725?

GCD of given numbers 675, 269, 308, 725 is 1

2. How to calculate the greatest common divisor of 675, 269, 308, 725?

We can find the highest common divisor of 675, 269, 308, 725 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, 269, 308, 725 i.e 1.

3. How can I use the GCD of 675, 269, 308, 725Calculator?

Out the numbers 675, 269, 308, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.