GCD of 100, 268, 356, 642 Calculator

Given Input numbers are 100, 268, 356, 642

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 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

GCD of numbers is the greatest common divisor

So, the GCD (100, 268, 356, 642) = 2.

Given numbers are 100, 268, 356, 642

The list of prime factors of all numbers are

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

Prime factors of 268 are 2 x 2 x 67

Prime factors of 356 are 2 x 2 x 89

Prime factors of 642 are 2 x 3 x 107

The highest common occurrence is 2¹

Therefore, GCD of 100, 268, 356, 642 is 2.

Given numbers are 100, 268, 356, 642

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

Apply this formula for all numbers.

Step1:

LCM(100, 268) = 6700

GCD(100, 268) = ( 100 x 268 ) / 6700

= 100 / 268

= 100

Step2:

LCM(4, 356) = 356

GCD(4, 356) = ( 4 x 356 ) / 356

= 4 / 356

= 4

Step3:

LCM(4, 642) = 1284

GCD(4, 642) = ( 4 x 642 ) / 1284

= 4 / 642

= 4

So, Greatest Common Divisor of 100, 268, 356, 642 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 744, 304, 424, 249
• GCD of 264, 865, 406, 565
• GCD of 616, 859, 405, 126
• GCD of 366, 280, 292, 185
• GCD of 184, 242, 854, 950

Given numbers are 100, 268, 356, 642
The greatest common divisor of numbers 100, 268, 356, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 268, 356, 642 is 2.

1. What is the GCD of 100, 268, 356, 642?

GCD of given numbers 100, 268, 356, 642 is 2

2. How to calculate the greatest common divisor of 100, 268, 356, 642?

We can find the highest common divisor of 100, 268, 356, 642 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, 268, 356, 642 i.e 2.

3. How can I use the GCD of 100, 268, 356, 642Calculator?

Out the numbers 100, 268, 356, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.