GCD of 100, 146, 834, 700 Calculator

Given Input numbers are 100, 146, 834, 700

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

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 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 834 :

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

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

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

GCD of numbers is the greatest common divisor

So, the GCD (100, 146, 834, 700) = 2.

Given numbers are 100, 146, 834, 700

The list of prime factors of all numbers are

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

Prime factors of 146 are 2 x 73

Prime factors of 834 are 2 x 3 x 139

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 100, 146, 834, 700 is 2.

Given numbers are 100, 146, 834, 700

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

Apply this formula for all numbers.

Step1:

LCM(100, 146) = 7300

GCD(100, 146) = ( 100 x 146 ) / 7300

= 100 / 146

= 100

Step2:

LCM(2, 834) = 834

GCD(2, 834) = ( 2 x 834 ) / 834

= 2 / 834

= 2

Step3:

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

= 2 / 700

= 2

So, Greatest Common Divisor of 100, 146, 834, 700 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 897, 772, 807, 488
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Given numbers are 100, 146, 834, 700
The greatest common divisor of numbers 100, 146, 834, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 146, 834, 700 is 2.

1. What is the GCD of 100, 146, 834, 700?

GCD of given numbers 100, 146, 834, 700 is 2

2. How to calculate the greatest common divisor of 100, 146, 834, 700?

We can find the highest common divisor of 100, 146, 834, 700 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 100, 146, 834, 700 i.e 2.

3. How can I use the GCD of 100, 146, 834, 700Calculator?

Out the numbers 100, 146, 834, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.