GCD of 690, 649, 725, 914 Calculator

Given Input numbers are 690, 649, 725, 914

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 649 :

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

1, 11, 59, 649

Divisors of 725 :

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

1, 5, 25, 29, 145, 725

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

GCD of numbers is the greatest common divisor

So, the GCD (690, 649, 725, 914) = 1.

Given numbers are 690, 649, 725, 914

The list of prime factors of all numbers are

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 649 are 11 x 59

Prime factors of 725 are 5 x 5 x 29

Prime factors of 914 are 2 x 457

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

Given numbers are 690, 649, 725, 914

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

Apply this formula for all numbers.

Step1:

LCM(690, 649) = 447810

GCD(690, 649) = ( 690 x 649 ) / 447810

= 690 / 649

= 690

Step2:

LCM(1, 725) = 725

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

= 1 / 725

= 1

Step3:

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

= 1 / 914

= 1

So, Greatest Common Divisor of 690, 649, 725, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 687, 520, 683, 563
• GCD of 685, 563, 984, 535
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• GCD of 202, 527, 557, 437
• GCD of 885, 344, 289, 965

Given numbers are 690, 649, 725, 914
The greatest common divisor of numbers 690, 649, 725, 914 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 649, 725, 914 is 1.

1. What is the GCD of 690, 649, 725, 914?

GCD of given numbers 690, 649, 725, 914 is 1

2. How to calculate the greatest common divisor of 690, 649, 725, 914?

We can find the highest common divisor of 690, 649, 725, 914 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 690, 649, 725, 914 i.e 1.

3. How can I use the GCD of 690, 649, 725, 914Calculator?

Out the numbers 690, 649, 725, 914 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.