GCD of 635, 865, 685, 720 Calculator

Given Input numbers are 635, 865, 685, 720

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

Divisors of 635 :

The positive integer divisors of 635 that completely divides 635 are.

1, 5, 127, 635

Divisors of 865 :

The positive integer divisors of 865 that completely divides 865 are.

1, 5, 173, 865

Divisors of 685 :

The positive integer divisors of 685 that completely divides 685 are.

1, 5, 137, 685

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

GCD of numbers is the greatest common divisor

So, the GCD (635, 865, 685, 720) = 5.

Given numbers are 635, 865, 685, 720

The list of prime factors of all numbers are

Prime factors of 635 are 5 x 127

Prime factors of 865 are 5 x 173

Prime factors of 685 are 5 x 137

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 5¹

Therefore, GCD of 635, 865, 685, 720 is 5.

Given numbers are 635, 865, 685, 720

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

Apply this formula for all numbers.

Step1:

LCM(635, 865) = 109855

GCD(635, 865) = ( 635 x 865 ) / 109855

= 635 / 865

= 635

Step2:

LCM(5, 685) = 685

GCD(5, 685) = ( 5 x 685 ) / 685

= 5 / 685

= 5

Step3:

LCM(5, 720) = 720

GCD(5, 720) = ( 5 x 720 ) / 720

= 5 / 720

= 5

So, Greatest Common Divisor of 635, 865, 685, 720 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 465, 787, 159, 307
• GCD of 322, 945, 262, 545
• GCD of 572, 749, 838, 490
• GCD of 521, 118, 647, 486
• GCD of 958, 673, 310, 106

Given numbers are 635, 865, 685, 720
The greatest common divisor of numbers 635, 865, 685, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 635, 865, 685, 720 is 5.

1. What is the GCD of 635, 865, 685, 720?

GCD of given numbers 635, 865, 685, 720 is 5

2. How to calculate the greatest common divisor of 635, 865, 685, 720?

We can find the highest common divisor of 635, 865, 685, 720 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 635, 865, 685, 720 i.e 5.

3. How can I use the GCD of 635, 865, 685, 720Calculator?

Out the numbers 635, 865, 685, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.