GCD of 245, 900, 370, 725 Calculator

Given Input numbers are 245, 900, 370, 725

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

Divisors of 245 :

The positive integer divisors of 245 that completely divides 245 are.

1, 5, 7, 35, 49, 245

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 370 :

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

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

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 (245, 900, 370, 725) = 5.

Given numbers are 245, 900, 370, 725

The list of prime factors of all numbers are

Prime factors of 245 are 5 x 7 x 7

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 370 are 2 x 5 x 37

Prime factors of 725 are 5 x 5 x 29

The highest common occurrence is 5¹

Therefore, GCD of 245, 900, 370, 725 is 5.

Given numbers are 245, 900, 370, 725

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

Apply this formula for all numbers.

Step1:

LCM(245, 900) = 44100

GCD(245, 900) = ( 245 x 900 ) / 44100

= 245 / 900

= 245

Step2:

LCM(5, 370) = 370

GCD(5, 370) = ( 5 x 370 ) / 370

= 5 / 370

= 5

Step3:

LCM(5, 725) = 725

GCD(5, 725) = ( 5 x 725 ) / 725

= 5 / 725

= 5

So, Greatest Common Divisor of 245, 900, 370, 725 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 555, 145, 625
• GCD of 510, 183, 830, 432
• GCD of 810, 364, 354, 593
• GCD of 856, 402, 560, 347
• GCD of 291, 557, 111, 746

Given numbers are 245, 900, 370, 725
The greatest common divisor of numbers 245, 900, 370, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 245, 900, 370, 725 is 5.

1. What is the GCD of 245, 900, 370, 725?

GCD of given numbers 245, 900, 370, 725 is 5

2. How to calculate the greatest common divisor of 245, 900, 370, 725?

We can find the highest common divisor of 245, 900, 370, 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 245, 900, 370, 725 i.e 5.

3. How can I use the GCD of 245, 900, 370, 725Calculator?

Out the numbers 245, 900, 370, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.