GCD of 112, 700, 261, 829 Calculator

Given Input numbers are 112, 700, 261, 829

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 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

GCD of numbers is the greatest common divisor

So, the GCD (112, 700, 261, 829) = 1.

Given numbers are 112, 700, 261, 829

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 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 261 are 3 x 3 x 29

Prime factors of 829 are 829

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

Given numbers are 112, 700, 261, 829

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

Apply this formula for all numbers.

Step1:

LCM(112, 700) = 2800

GCD(112, 700) = ( 112 x 700 ) / 2800

= 112 / 700

= 112

Step2:

LCM(28, 261) = 7308

GCD(28, 261) = ( 28 x 261 ) / 7308

= 28 / 261

= 28

Step3:

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

= 1 / 829

= 1

So, Greatest Common Divisor of 112, 700, 261, 829 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 161, 265, 279, 564
• GCD of 914, 741, 313, 356
• GCD of 707, 291, 202, 494
• GCD of 641, 790, 583, 415
• GCD of 782, 203, 786, 285

Given numbers are 112, 700, 261, 829
The greatest common divisor of numbers 112, 700, 261, 829 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 700, 261, 829 is 1.

1. What is the GCD of 112, 700, 261, 829?

GCD of given numbers 112, 700, 261, 829 is 1

2. How to calculate the greatest common divisor of 112, 700, 261, 829?

We can find the highest common divisor of 112, 700, 261, 829 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, 700, 261, 829 i.e 1.

3. How can I use the GCD of 112, 700, 261, 829Calculator?

Out the numbers 112, 700, 261, 829 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.