GCD of 743, 826, 114, 100 Calculator

Given Input numbers are 743, 826, 114, 100

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

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

GCD of numbers is the greatest common divisor

So, the GCD (743, 826, 114, 100) = 1.

Given numbers are 743, 826, 114, 100

The list of prime factors of all numbers are

Prime factors of 743 are 743

Prime factors of 826 are 2 x 7 x 59

Prime factors of 114 are 2 x 3 x 19

Prime factors of 100 are 2 x 2 x 5 x 5

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

Given numbers are 743, 826, 114, 100

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

Apply this formula for all numbers.

Step1:

LCM(743, 826) = 613718

GCD(743, 826) = ( 743 x 826 ) / 613718

= 743 / 826

= 743

Step2:

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

= 1 / 114

= 1

Step3:

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

= 1 / 100

= 1

So, Greatest Common Divisor of 743, 826, 114, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 995, 431, 436, 537
• GCD of 936, 714, 828, 372
• GCD of 208, 365, 948, 872
• GCD of 838, 478, 258, 362
• GCD of 334, 619, 712, 668

Given numbers are 743, 826, 114, 100
The greatest common divisor of numbers 743, 826, 114, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 743, 826, 114, 100 is 1.

1. What is the GCD of 743, 826, 114, 100?

GCD of given numbers 743, 826, 114, 100 is 1

2. How to calculate the greatest common divisor of 743, 826, 114, 100?

We can find the highest common divisor of 743, 826, 114, 100 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 743, 826, 114, 100 i.e 1.

3. How can I use the GCD of 743, 826, 114, 100Calculator?

Out the numbers 743, 826, 114, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.