GCD of 140, 160, 590, 100 Calculator

Given Input numbers are 140, 160, 590, 100

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 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

GCD of numbers is the greatest common divisor

So, the GCD (140, 160, 590, 100) = 10.

Given numbers are 140, 160, 590, 100

The list of prime factors of all numbers are

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

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 590 are 2 x 5 x 59

Prime factors of 100 are 2 x 2 x 5 x 5

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 140, 160, 590, 100 is 10.

Given numbers are 140, 160, 590, 100

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

Apply this formula for all numbers.

Step1:

LCM(140, 160) = 1120

GCD(140, 160) = ( 140 x 160 ) / 1120

= 140 / 160

= 140

Step2:

LCM(20, 590) = 1180

GCD(20, 590) = ( 20 x 590 ) / 1180

= 20 / 590

= 20

Step3:

LCM(10, 100) = 100

GCD(10, 100) = ( 10 x 100 ) / 100

= 10 / 100

= 10

So, Greatest Common Divisor of 140, 160, 590, 100 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 549, 358, 300, 793
• GCD of 414, 528, 387, 513
• GCD of 263, 342, 580, 322
• GCD of 878, 862, 949, 543
• GCD of 487, 191, 897, 952

Given numbers are 140, 160, 590, 100
The greatest common divisor of numbers 140, 160, 590, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 160, 590, 100 is 10.

1. What is the GCD of 140, 160, 590, 100?

GCD of given numbers 140, 160, 590, 100 is 10

2. How to calculate the greatest common divisor of 140, 160, 590, 100?

We can find the highest common divisor of 140, 160, 590, 100 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, 160, 590, 100 i.e 10.

3. How can I use the GCD of 140, 160, 590, 100Calculator?

Out the numbers 140, 160, 590, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.