GCD of 143, 420, 649, 140 Calculator

Given Input numbers are 143, 420, 649, 140

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

Divisors of 143 :

The positive integer divisors of 143 that completely divides 143 are.

1, 11, 13, 143

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

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

GCD of numbers is the greatest common divisor

So, the GCD (143, 420, 649, 140) = 1.

Given numbers are 143, 420, 649, 140

The list of prime factors of all numbers are

Prime factors of 143 are 11 x 13

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 649 are 11 x 59

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

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

Given numbers are 143, 420, 649, 140

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

Apply this formula for all numbers.

Step1:

LCM(143, 420) = 60060

GCD(143, 420) = ( 143 x 420 ) / 60060

= 143 / 420

= 143

Step2:

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

= 1 / 649

= 1

Step3:

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

= 1 / 140

= 1

So, Greatest Common Divisor of 143, 420, 649, 140 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 168, 310, 755, 571
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Given numbers are 143, 420, 649, 140
The greatest common divisor of numbers 143, 420, 649, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 143, 420, 649, 140 is 1.

1. What is the GCD of 143, 420, 649, 140?

GCD of given numbers 143, 420, 649, 140 is 1

2. How to calculate the greatest common divisor of 143, 420, 649, 140?

We can find the highest common divisor of 143, 420, 649, 140 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 143, 420, 649, 140 i.e 1.

3. How can I use the GCD of 143, 420, 649, 140Calculator?

Out the numbers 143, 420, 649, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.