GCD of 100, 720, 478, 346 Calculator

Given Input numbers are 100, 720, 478, 346

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 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

GCD of numbers is the greatest common divisor

So, the GCD (100, 720, 478, 346) = 2.

Given numbers are 100, 720, 478, 346

The list of prime factors of all numbers are

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

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 478 are 2 x 239

Prime factors of 346 are 2 x 173

The highest common occurrence is 2¹

Therefore, GCD of 100, 720, 478, 346 is 2.

Given numbers are 100, 720, 478, 346

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

Apply this formula for all numbers.

Step1:

LCM(100, 720) = 3600

GCD(100, 720) = ( 100 x 720 ) / 3600

= 100 / 720

= 100

Step2:

LCM(20, 478) = 4780

GCD(20, 478) = ( 20 x 478 ) / 4780

= 20 / 478

= 20

Step3:

LCM(2, 346) = 346

GCD(2, 346) = ( 2 x 346 ) / 346

= 2 / 346

= 2

So, Greatest Common Divisor of 100, 720, 478, 346 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 371, 556, 314, 400
• GCD of 823, 666, 920, 969
• GCD of 514, 297, 202, 241
• GCD of 157, 826, 105, 241
• GCD of 825, 370, 786, 249

Given numbers are 100, 720, 478, 346
The greatest common divisor of numbers 100, 720, 478, 346 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 720, 478, 346 is 2.

1. What is the GCD of 100, 720, 478, 346?

GCD of given numbers 100, 720, 478, 346 is 2

2. How to calculate the greatest common divisor of 100, 720, 478, 346?

We can find the highest common divisor of 100, 720, 478, 346 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, 720, 478, 346 i.e 2.

3. How can I use the GCD of 100, 720, 478, 346Calculator?

Out the numbers 100, 720, 478, 346 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.