GCD of 491, 400, 720, 142 Calculator

Given Input numbers are 491, 400, 720, 142

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

Divisors of 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

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

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 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (491, 400, 720, 142) = 1.

Given numbers are 491, 400, 720, 142

The list of prime factors of all numbers are

Prime factors of 491 are 491

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

Prime factors of 142 are 2 x 71

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

Given numbers are 491, 400, 720, 142

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

Apply this formula for all numbers.

Step1:

LCM(491, 400) = 196400

GCD(491, 400) = ( 491 x 400 ) / 196400

= 491 / 400

= 491

Step2:

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

= 1 / 720

= 1

Step3:

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

= 1 / 142

= 1

So, Greatest Common Divisor of 491, 400, 720, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 456, 702, 534, 282
• GCD of 123, 695, 118, 110
• GCD of 729, 330, 440, 679
• GCD of 412, 336, 902, 430
• GCD of 623, 199, 176, 649

Given numbers are 491, 400, 720, 142
The greatest common divisor of numbers 491, 400, 720, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 491, 400, 720, 142 is 1.

1. What is the GCD of 491, 400, 720, 142?

GCD of given numbers 491, 400, 720, 142 is 1

2. How to calculate the greatest common divisor of 491, 400, 720, 142?

We can find the highest common divisor of 491, 400, 720, 142 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 491, 400, 720, 142 i.e 1.

3. How can I use the GCD of 491, 400, 720, 142Calculator?

Out the numbers 491, 400, 720, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.