GCD of 140, 985, 600, 171 Calculator

Given Input numbers are 140, 985, 600, 171

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 985 :

The positive integer divisors of 985 that completely divides 985 are.

1, 5, 197, 985

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

GCD of numbers is the greatest common divisor

So, the GCD (140, 985, 600, 171) = 1.

Given numbers are 140, 985, 600, 171

The list of prime factors of all numbers are

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

Prime factors of 985 are 5 x 197

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 171 are 3 x 3 x 19

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

Given numbers are 140, 985, 600, 171

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

Apply this formula for all numbers.

Step1:

LCM(140, 985) = 27580

GCD(140, 985) = ( 140 x 985 ) / 27580

= 140 / 985

= 140

Step2:

LCM(5, 600) = 600

GCD(5, 600) = ( 5 x 600 ) / 600

= 5 / 600

= 5

Step3:

LCM(5, 171) = 855

GCD(5, 171) = ( 5 x 171 ) / 855

= 5 / 171

= 5

So, Greatest Common Divisor of 140, 985, 600, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 941, 391, 348, 701
• GCD of 804, 950, 235, 900
• GCD of 278, 680, 182, 280
• GCD of 257, 614, 573, 836
• GCD of 410, 281, 254, 939

Given numbers are 140, 985, 600, 171
The greatest common divisor of numbers 140, 985, 600, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 985, 600, 171 is 1.

1. What is the GCD of 140, 985, 600, 171?

GCD of given numbers 140, 985, 600, 171 is 1

2. How to calculate the greatest common divisor of 140, 985, 600, 171?

We can find the highest common divisor of 140, 985, 600, 171 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, 985, 600, 171 i.e 1.

3. How can I use the GCD of 140, 985, 600, 171Calculator?

Out the numbers 140, 985, 600, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.