GCD of 682, 302, 849, 112 Calculator

Given Input numbers are 682, 302, 849, 112

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

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 112 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (682, 302, 849, 112) = 1.

Given numbers are 682, 302, 849, 112

The list of prime factors of all numbers are

Prime factors of 682 are 2 x 11 x 31

Prime factors of 302 are 2 x 151

Prime factors of 849 are 3 x 283

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

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

Given numbers are 682, 302, 849, 112

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

Apply this formula for all numbers.

Step1:

LCM(682, 302) = 102982

GCD(682, 302) = ( 682 x 302 ) / 102982

= 682 / 302

= 682

Step2:

LCM(2, 849) = 1698

GCD(2, 849) = ( 2 x 849 ) / 1698

= 2 / 849

= 2

Step3:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1

So, Greatest Common Divisor of 682, 302, 849, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 593, 521, 653, 120
• GCD of 861, 726, 302, 488
• GCD of 470, 261, 585, 991
• GCD of 220, 606, 525, 707
• GCD of 149, 278, 509, 239

Given numbers are 682, 302, 849, 112
The greatest common divisor of numbers 682, 302, 849, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 302, 849, 112 is 1.

1. What is the GCD of 682, 302, 849, 112?

GCD of given numbers 682, 302, 849, 112 is 1

2. How to calculate the greatest common divisor of 682, 302, 849, 112?

We can find the highest common divisor of 682, 302, 849, 112 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 682, 302, 849, 112 i.e 1.

3. How can I use the GCD of 682, 302, 849, 112Calculator?

Out the numbers 682, 302, 849, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.