GCD of 725, 371, 214, 677 Calculator

Given Input numbers are 725, 371, 214, 677

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 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

GCD of numbers is the greatest common divisor

So, the GCD (725, 371, 214, 677) = 1.

Given numbers are 725, 371, 214, 677

The list of prime factors of all numbers are

Prime factors of 725 are 5 x 5 x 29

Prime factors of 371 are 7 x 53

Prime factors of 214 are 2 x 107

Prime factors of 677 are 677

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

Given numbers are 725, 371, 214, 677

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

Apply this formula for all numbers.

Step1:

LCM(725, 371) = 268975

GCD(725, 371) = ( 725 x 371 ) / 268975

= 725 / 371

= 725

Step2:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

Step3:

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

= 1 / 677

= 1

So, Greatest Common Divisor of 725, 371, 214, 677 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 275, 740, 613, 673
• GCD of 586, 430, 131, 180
• GCD of 425, 559, 381, 497
• GCD of 908, 601, 815, 320
• GCD of 119, 823, 328, 373

Given numbers are 725, 371, 214, 677
The greatest common divisor of numbers 725, 371, 214, 677 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 371, 214, 677 is 1.

1. What is the GCD of 725, 371, 214, 677?

GCD of given numbers 725, 371, 214, 677 is 1

2. How to calculate the greatest common divisor of 725, 371, 214, 677?

We can find the highest common divisor of 725, 371, 214, 677 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, 371, 214, 677 i.e 1.

3. How can I use the GCD of 725, 371, 214, 677Calculator?

Out the numbers 725, 371, 214, 677 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.