GCD of 400, 268, 780, 358 Calculator

Given Input numbers are 400, 268, 780, 358

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

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 268 :

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

1, 2, 4, 67, 134, 268

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

GCD of numbers is the greatest common divisor

So, the GCD (400, 268, 780, 358) = 2.

Given numbers are 400, 268, 780, 358

The list of prime factors of all numbers are

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 268 are 2 x 2 x 67

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 358 are 2 x 179

The highest common occurrence is 2¹

Therefore, GCD of 400, 268, 780, 358 is 2.

Given numbers are 400, 268, 780, 358

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

Apply this formula for all numbers.

Step1:

LCM(400, 268) = 26800

GCD(400, 268) = ( 400 x 268 ) / 26800

= 400 / 268

= 400

Step2:

LCM(4, 780) = 780

GCD(4, 780) = ( 4 x 780 ) / 780

= 4 / 780

= 4

Step3:

LCM(4, 358) = 716

GCD(4, 358) = ( 4 x 358 ) / 716

= 4 / 358

= 4

So, Greatest Common Divisor of 400, 268, 780, 358 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 659, 554, 585, 172
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• GCD of 299, 537, 909, 842
• GCD of 552, 785, 159, 965
• GCD of 751, 974, 248, 902

Given numbers are 400, 268, 780, 358
The greatest common divisor of numbers 400, 268, 780, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 268, 780, 358 is 2.

1. What is the GCD of 400, 268, 780, 358?

GCD of given numbers 400, 268, 780, 358 is 2

2. How to calculate the greatest common divisor of 400, 268, 780, 358?

We can find the highest common divisor of 400, 268, 780, 358 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 400, 268, 780, 358 i.e 2.

3. How can I use the GCD of 400, 268, 780, 358Calculator?

Out the numbers 400, 268, 780, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.