GCD of 675, 456, 709, 370 Calculator

Given Input numbers are 675, 456, 709, 370

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 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

GCD of numbers is the greatest common divisor

So, the GCD (675, 456, 709, 370) = 1.

Given numbers are 675, 456, 709, 370

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 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 709 are 709

Prime factors of 370 are 2 x 5 x 37

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

Given numbers are 675, 456, 709, 370

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

Apply this formula for all numbers.

Step1:

LCM(675, 456) = 102600

GCD(675, 456) = ( 675 x 456 ) / 102600

= 675 / 456

= 675

Step2:

LCM(3, 709) = 2127

GCD(3, 709) = ( 3 x 709 ) / 2127

= 3 / 709

= 3

Step3:

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

= 1 / 370

= 1

So, Greatest Common Divisor of 675, 456, 709, 370 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 728, 592, 270, 441
• GCD of 666, 379, 250, 977
• GCD of 562, 293, 580, 132
• GCD of 559, 316, 624, 935
• GCD of 284, 332, 241, 414

Given numbers are 675, 456, 709, 370
The greatest common divisor of numbers 675, 456, 709, 370 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 456, 709, 370 is 1.

1. What is the GCD of 675, 456, 709, 370?

GCD of given numbers 675, 456, 709, 370 is 1

2. How to calculate the greatest common divisor of 675, 456, 709, 370?

We can find the highest common divisor of 675, 456, 709, 370 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, 456, 709, 370 i.e 1.

3. How can I use the GCD of 675, 456, 709, 370Calculator?

Out the numbers 675, 456, 709, 370 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.