GCD of 725, 420, 253, 149 Calculator

Given Input numbers are 725, 420, 253, 149

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

GCD of numbers is the greatest common divisor

So, the GCD (725, 420, 253, 149) = 1.

Given numbers are 725, 420, 253, 149

The list of prime factors of all numbers are

Prime factors of 725 are 5 x 5 x 29

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 253 are 11 x 23

Prime factors of 149 are 149

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

Given numbers are 725, 420, 253, 149

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

Apply this formula for all numbers.

Step1:

LCM(725, 420) = 60900

GCD(725, 420) = ( 725 x 420 ) / 60900

= 725 / 420

= 725

Step2:

LCM(5, 253) = 1265

GCD(5, 253) = ( 5 x 253 ) / 1265

= 5 / 253

= 5

Step3:

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

= 1 / 149

= 1

So, Greatest Common Divisor of 725, 420, 253, 149 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 760, 654, 616, 982
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Given numbers are 725, 420, 253, 149
The greatest common divisor of numbers 725, 420, 253, 149 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 420, 253, 149 is 1.

1. What is the GCD of 725, 420, 253, 149?

GCD of given numbers 725, 420, 253, 149 is 1

2. How to calculate the greatest common divisor of 725, 420, 253, 149?

We can find the highest common divisor of 725, 420, 253, 149 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, 420, 253, 149 i.e 1.

3. How can I use the GCD of 725, 420, 253, 149Calculator?

Out the numbers 725, 420, 253, 149 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.