GCD of 100, 422, 480, 278 Calculator

Given Input numbers are 100, 422, 480, 278

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 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

GCD of numbers is the greatest common divisor

So, the GCD (100, 422, 480, 278) = 2.

Given numbers are 100, 422, 480, 278

The list of prime factors of all numbers are

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

Prime factors of 422 are 2 x 211

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 278 are 2 x 139

The highest common occurrence is 2¹

Therefore, GCD of 100, 422, 480, 278 is 2.

Given numbers are 100, 422, 480, 278

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

Apply this formula for all numbers.

Step1:

LCM(100, 422) = 21100

GCD(100, 422) = ( 100 x 422 ) / 21100

= 100 / 422

= 100

Step2:

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

= 2 / 480

= 2

Step3:

LCM(2, 278) = 278

GCD(2, 278) = ( 2 x 278 ) / 278

= 2 / 278

= 2

So, Greatest Common Divisor of 100, 422, 480, 278 is 2

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• GCD of 768, 628, 658, 318
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Given numbers are 100, 422, 480, 278
The greatest common divisor of numbers 100, 422, 480, 278 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 422, 480, 278 is 2.

1. What is the GCD of 100, 422, 480, 278?

GCD of given numbers 100, 422, 480, 278 is 2

2. How to calculate the greatest common divisor of 100, 422, 480, 278?

We can find the highest common divisor of 100, 422, 480, 278 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, 422, 480, 278 i.e 2.

3. How can I use the GCD of 100, 422, 480, 278Calculator?

Out the numbers 100, 422, 480, 278 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.