GCD of 461, 660, 725, 676 Calculator

Given Input numbers are 461, 660, 725, 676

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

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 725 :

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

1, 5, 25, 29, 145, 725

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (461, 660, 725, 676) = 1.

Given numbers are 461, 660, 725, 676

The list of prime factors of all numbers are

Prime factors of 461 are 461

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 725 are 5 x 5 x 29

Prime factors of 676 are 2 x 2 x 13 x 13

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

Given numbers are 461, 660, 725, 676

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

Apply this formula for all numbers.

Step1:

LCM(461, 660) = 304260

GCD(461, 660) = ( 461 x 660 ) / 304260

= 461 / 660

= 461

Step2:

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

= 1 / 725

= 1

Step3:

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

= 1 / 676

= 1

So, Greatest Common Divisor of 461, 660, 725, 676 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 543, 154, 982, 518
• GCD of 798, 787, 157, 723
• GCD of 581, 862, 202, 312
• GCD of 499, 229, 964, 860
• GCD of 902, 798, 229, 246

Given numbers are 461, 660, 725, 676
The greatest common divisor of numbers 461, 660, 725, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 461, 660, 725, 676 is 1.

1. What is the GCD of 461, 660, 725, 676?

GCD of given numbers 461, 660, 725, 676 is 1

2. How to calculate the greatest common divisor of 461, 660, 725, 676?

We can find the highest common divisor of 461, 660, 725, 676 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 461, 660, 725, 676 i.e 1.

3. How can I use the GCD of 461, 660, 725, 676Calculator?

Out the numbers 461, 660, 725, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.