GCD of 293, 130, 992, 420 Calculator

Given Input numbers are 293, 130, 992, 420

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

Divisors of 293 :

The positive integer divisors of 293 that completely divides 293 are.

1, 293

Divisors of 130 :

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

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

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

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

GCD of numbers is the greatest common divisor

So, the GCD (293, 130, 992, 420) = 1.

Given numbers are 293, 130, 992, 420

The list of prime factors of all numbers are

Prime factors of 293 are 293

Prime factors of 130 are 2 x 5 x 13

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

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

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

Given numbers are 293, 130, 992, 420

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

Apply this formula for all numbers.

Step1:

LCM(293, 130) = 38090

GCD(293, 130) = ( 293 x 130 ) / 38090

= 293 / 130

= 293

Step2:

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

= 1 / 992

= 1

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 293, 130, 992, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 351, 530, 433, 460
• GCD of 696, 800, 128, 266
• GCD of 651, 688, 996, 222
• GCD of 278, 187, 400, 628
• GCD of 794, 473, 181, 497

Given numbers are 293, 130, 992, 420
The greatest common divisor of numbers 293, 130, 992, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 293, 130, 992, 420 is 1.

1. What is the GCD of 293, 130, 992, 420?

GCD of given numbers 293, 130, 992, 420 is 1

2. How to calculate the greatest common divisor of 293, 130, 992, 420?

We can find the highest common divisor of 293, 130, 992, 420 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 293, 130, 992, 420 i.e 1.

3. How can I use the GCD of 293, 130, 992, 420Calculator?

Out the numbers 293, 130, 992, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.