GCD of 140, 800, 640 Calculator

Given Input numbers are 140, 800, 640

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

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

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 (140, 800, 640) = 20.

Given numbers are 140, 800, 640

The list of prime factors of all numbers are

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 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 2² x 5¹

Therefore, GCD of 140, 800, 640 is 20.

Given numbers are 140, 800, 640

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

Apply this formula for all numbers.

Step1:

LCM(140, 800) = 5600

GCD(140, 800) = ( 140 x 800 ) / 5600

= 140 / 800

= 140

Step2:

LCM(20, 640) = 640

GCD(20, 640) = ( 20 x 640 ) / 640

= 20 / 640

= 20

So, Greatest Common Divisor of 140, 800, 640 is 20

Here are some samples of GCD of Numbers calculations.

• GCD of 932, 711, 664
• GCD of 377, 104, 230
• GCD of 257, 956, 416
• GCD of 283, 799, 147
• GCD of 785, 153, 242

Given numbers are 140, 800, 640
The greatest common divisor of numbers 140, 800, 640 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 800, 640 is 20.

1. What is the GCD of 140, 800, 640?

GCD of given numbers 140, 800, 640 is 20

2. How to calculate the greatest common divisor of 140, 800, 640?

We can find the highest common divisor of 140, 800, 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 140, 800, 640 i.e 20.

3. How can I use the GCD of 140, 800, 640Calculator?

Out the numbers 140, 800, 640 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.