GCD of 493, 420, 130, 737 Calculator

Given Input numbers are 493, 420, 130, 737

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

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

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 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 737 :

The positive integer divisors of 737 that completely divides 737 are.

1, 11, 67, 737

GCD of numbers is the greatest common divisor

So, the GCD (493, 420, 130, 737) = 1.

Given numbers are 493, 420, 130, 737

The list of prime factors of all numbers are

Prime factors of 493 are 17 x 29

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

Prime factors of 130 are 2 x 5 x 13

Prime factors of 737 are 11 x 67

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

Given numbers are 493, 420, 130, 737

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

Apply this formula for all numbers.

Step1:

LCM(493, 420) = 207060

GCD(493, 420) = ( 493 x 420 ) / 207060

= 493 / 420

= 493

Step2:

LCM(1, 130) = 130

GCD(1, 130) = ( 1 x 130 ) / 130

= 1 / 130

= 1

Step3:

LCM(1, 737) = 737

GCD(1, 737) = ( 1 x 737 ) / 737

= 1 / 737

= 1

So, Greatest Common Divisor of 493, 420, 130, 737 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 748, 682, 878, 720
• GCD of 256, 786, 637, 182
• GCD of 554, 856, 701, 807
• GCD of 688, 510, 299, 257
• GCD of 817, 591, 976, 808

Given numbers are 493, 420, 130, 737
The greatest common divisor of numbers 493, 420, 130, 737 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 420, 130, 737 is 1.

1. What is the GCD of 493, 420, 130, 737?

GCD of given numbers 493, 420, 130, 737 is 1

2. How to calculate the greatest common divisor of 493, 420, 130, 737?

We can find the highest common divisor of 493, 420, 130, 737 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 493, 420, 130, 737 i.e 1.

3. How can I use the GCD of 493, 420, 130, 737Calculator?

Out the numbers 493, 420, 130, 737 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.