GCD of 112, 160, 781, 420 Calculator

Given Input numbers are 112, 160, 781, 420

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

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 781 :

The positive integer divisors of 781 that completely divides 781 are.

1, 11, 71, 781

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 (112, 160, 781, 420) = 1.

Given numbers are 112, 160, 781, 420

The list of prime factors of all numbers are

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 781 are 11 x 71

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 112, 160, 781, 420

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

Apply this formula for all numbers.

Step1:

LCM(112, 160) = 1120

GCD(112, 160) = ( 112 x 160 ) / 1120

= 112 / 160

= 112

Step2:

LCM(16, 781) = 12496

GCD(16, 781) = ( 16 x 781 ) / 12496

= 16 / 781

= 16

Step3:

LCM(1, 420) = 420

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

= 1 / 420

= 1

So, Greatest Common Divisor of 112, 160, 781, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 995, 714, 769, 369
• GCD of 459, 916, 852, 770
• GCD of 307, 546, 413, 968
• GCD of 993, 573, 780, 244
• GCD of 987, 202, 953, 550

Given numbers are 112, 160, 781, 420
The greatest common divisor of numbers 112, 160, 781, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 160, 781, 420 is 1.

1. What is the GCD of 112, 160, 781, 420?

GCD of given numbers 112, 160, 781, 420 is 1

2. How to calculate the greatest common divisor of 112, 160, 781, 420?

We can find the highest common divisor of 112, 160, 781, 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 112, 160, 781, 420 i.e 1.

3. How can I use the GCD of 112, 160, 781, 420Calculator?

Out the numbers 112, 160, 781, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.