GCD of 725, 145, 490, 360 Calculator

Given Input numbers are 725, 145, 490, 360

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

Divisors of 725 :

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

1, 5, 25, 29, 145, 725

Divisors of 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

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

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

GCD of numbers is the greatest common divisor

So, the GCD (725, 145, 490, 360) = 5.

Given numbers are 725, 145, 490, 360

The list of prime factors of all numbers are

Prime factors of 725 are 5 x 5 x 29

Prime factors of 145 are 5 x 29

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

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

The highest common occurrence is 5¹

Therefore, GCD of 725, 145, 490, 360 is 5.

Given numbers are 725, 145, 490, 360

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

Apply this formula for all numbers.

Step1:

LCM(725, 145) = 725

GCD(725, 145) = ( 725 x 145 ) / 725

= 725 / 145

= 725

Step2:

LCM(145, 490) = 14210

GCD(145, 490) = ( 145 x 490 ) / 14210

= 145 / 490

= 145

Step3:

LCM(5, 360) = 360

GCD(5, 360) = ( 5 x 360 ) / 360

= 5 / 360

= 5

So, Greatest Common Divisor of 725, 145, 490, 360 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 433, 767, 995, 365
• GCD of 396, 472, 230, 404
• GCD of 854, 756, 830, 397
• GCD of 553, 982, 333, 693
• GCD of 488, 667, 841, 559

Given numbers are 725, 145, 490, 360
The greatest common divisor of numbers 725, 145, 490, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 145, 490, 360 is 5.

1. What is the GCD of 725, 145, 490, 360?

GCD of given numbers 725, 145, 490, 360 is 5

2. How to calculate the greatest common divisor of 725, 145, 490, 360?

We can find the highest common divisor of 725, 145, 490, 360 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 725, 145, 490, 360 i.e 5.

3. How can I use the GCD of 725, 145, 490, 360Calculator?

Out the numbers 725, 145, 490, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.