GCD of 742, 834, 100, 562 Calculator

Given Input numbers are 742, 834, 100, 562

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 100 :

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

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

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

GCD of numbers is the greatest common divisor

So, the GCD (742, 834, 100, 562) = 2.

Given numbers are 742, 834, 100, 562

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 834 are 2 x 3 x 139

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

Prime factors of 562 are 2 x 281

The highest common occurrence is 2¹

Therefore, GCD of 742, 834, 100, 562 is 2.

Given numbers are 742, 834, 100, 562

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

Apply this formula for all numbers.

Step1:

LCM(742, 834) = 309414

GCD(742, 834) = ( 742 x 834 ) / 309414

= 742 / 834

= 742

Step2:

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

= 2 / 100

= 2

Step3:

LCM(2, 562) = 562

GCD(2, 562) = ( 2 x 562 ) / 562

= 2 / 562

= 2

So, Greatest Common Divisor of 742, 834, 100, 562 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 112, 971, 610, 332
• GCD of 144, 405, 559, 834
• GCD of 314, 539, 245, 827
• GCD of 128, 870, 628, 913
• GCD of 457, 788, 862, 511

Given numbers are 742, 834, 100, 562
The greatest common divisor of numbers 742, 834, 100, 562 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 834, 100, 562 is 2.

1. What is the GCD of 742, 834, 100, 562?

GCD of given numbers 742, 834, 100, 562 is 2

2. How to calculate the greatest common divisor of 742, 834, 100, 562?

We can find the highest common divisor of 742, 834, 100, 562 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 742, 834, 100, 562 i.e 2.

3. How can I use the GCD of 742, 834, 100, 562Calculator?

Out the numbers 742, 834, 100, 562 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.