GCD of 649, 727, 735, 676 Calculator

Given Input numbers are 649, 727, 735, 676

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

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 727 :

The positive integer divisors of 727 that completely divides 727 are.

1, 727

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

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 (649, 727, 735, 676) = 1.

Given numbers are 649, 727, 735, 676

The list of prime factors of all numbers are

Prime factors of 649 are 11 x 59

Prime factors of 727 are 727

Prime factors of 735 are 3 x 5 x 7 x 7

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 649, 727, 735, 676

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

Apply this formula for all numbers.

Step1:

LCM(649, 727) = 471823

GCD(649, 727) = ( 649 x 727 ) / 471823

= 649 / 727

= 649

Step2:

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

= 1 / 735

= 1

Step3:

LCM(1, 676) = 676

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

= 1 / 676

= 1

So, Greatest Common Divisor of 649, 727, 735, 676 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 385, 615, 321, 859
• GCD of 740, 411, 370, 816
• GCD of 998, 548, 852, 259
• GCD of 343, 970, 326, 318
• GCD of 113, 450, 568, 272

Given numbers are 649, 727, 735, 676
The greatest common divisor of numbers 649, 727, 735, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 649, 727, 735, 676 is 1.

1. What is the GCD of 649, 727, 735, 676?

GCD of given numbers 649, 727, 735, 676 is 1

2. How to calculate the greatest common divisor of 649, 727, 735, 676?

We can find the highest common divisor of 649, 727, 735, 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 649, 727, 735, 676 i.e 1.

3. How can I use the GCD of 649, 727, 735, 676Calculator?

Out the numbers 649, 727, 735, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.