GCD of 874, 838, 720, 640 Calculator

Given Input numbers are 874, 838, 720, 640

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

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

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

Divisors of 640 :

The positive integer divisors of 640 that completely divides 640 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

GCD of numbers is the greatest common divisor

So, the GCD (874, 838, 720, 640) = 2.

Given numbers are 874, 838, 720, 640

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

Prime factors of 838 are 2 x 419

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

Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 874, 838, 720, 640 is 2.

Given numbers are 874, 838, 720, 640

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

Apply this formula for all numbers.

Step1:

LCM(874, 838) = 366206

GCD(874, 838) = ( 874 x 838 ) / 366206

= 874 / 838

= 874

Step2:

LCM(2, 720) = 720

GCD(2, 720) = ( 2 x 720 ) / 720

= 2 / 720

= 2

Step3:

LCM(2, 640) = 640

GCD(2, 640) = ( 2 x 640 ) / 640

= 2 / 640

= 2

So, Greatest Common Divisor of 874, 838, 720, 640 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 723, 996, 452, 705
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Given numbers are 874, 838, 720, 640
The greatest common divisor of numbers 874, 838, 720, 640 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 838, 720, 640 is 2.

1. What is the GCD of 874, 838, 720, 640?

GCD of given numbers 874, 838, 720, 640 is 2

2. How to calculate the greatest common divisor of 874, 838, 720, 640?

We can find the highest common divisor of 874, 838, 720, 640 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 874, 838, 720, 640 i.e 2.

3. How can I use the GCD of 874, 838, 720, 640Calculator?

Out the numbers 874, 838, 720, 640 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.