GCD of 675, 147, 360, 490 Calculator

Given Input numbers are 675, 147, 360, 490

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 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

GCD of numbers is the greatest common divisor

So, the GCD (675, 147, 360, 490) = 1.

Given numbers are 675, 147, 360, 490

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 147 are 3 x 7 x 7

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 490 are 2 x 5 x 7 x 7

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

Given numbers are 675, 147, 360, 490

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

Apply this formula for all numbers.

Step1:

LCM(675, 147) = 33075

GCD(675, 147) = ( 675 x 147 ) / 33075

= 675 / 147

= 675

Step2:

LCM(3, 360) = 360

GCD(3, 360) = ( 3 x 360 ) / 360

= 3 / 360

= 3

Step3:

LCM(3, 490) = 1470

GCD(3, 490) = ( 3 x 490 ) / 1470

= 3 / 490

= 3

So, Greatest Common Divisor of 675, 147, 360, 490 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 855, 283, 888, 788
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Given numbers are 675, 147, 360, 490
The greatest common divisor of numbers 675, 147, 360, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 147, 360, 490 is 1.

1. What is the GCD of 675, 147, 360, 490?

GCD of given numbers 675, 147, 360, 490 is 1

2. How to calculate the greatest common divisor of 675, 147, 360, 490?

We can find the highest common divisor of 675, 147, 360, 490 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, 147, 360, 490 i.e 1.

3. How can I use the GCD of 675, 147, 360, 490Calculator?

Out the numbers 675, 147, 360, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.