GCD of 358, 678, 276, 560 Calculator

Given Input numbers are 358, 678, 276, 560

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

Divisors of 358 :

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

1, 2, 179, 358

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

GCD of numbers is the greatest common divisor

So, the GCD (358, 678, 276, 560) = 2.

Given numbers are 358, 678, 276, 560

The list of prime factors of all numbers are

Prime factors of 358 are 2 x 179

Prime factors of 678 are 2 x 3 x 113

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 358, 678, 276, 560 is 2.

Given numbers are 358, 678, 276, 560

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

Apply this formula for all numbers.

Step1:

LCM(358, 678) = 121362

GCD(358, 678) = ( 358 x 678 ) / 121362

= 358 / 678

= 358

Step2:

LCM(2, 276) = 276

GCD(2, 276) = ( 2 x 276 ) / 276

= 2 / 276

= 2

Step3:

LCM(2, 560) = 560

GCD(2, 560) = ( 2 x 560 ) / 560

= 2 / 560

= 2

So, Greatest Common Divisor of 358, 678, 276, 560 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 968, 560, 973, 788
• GCD of 933, 188, 966, 380
• GCD of 305, 252, 789, 558
• GCD of 703, 525, 740, 584
• GCD of 266, 881, 693, 255

Given numbers are 358, 678, 276, 560
The greatest common divisor of numbers 358, 678, 276, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 358, 678, 276, 560 is 2.

1. What is the GCD of 358, 678, 276, 560?

GCD of given numbers 358, 678, 276, 560 is 2

2. How to calculate the greatest common divisor of 358, 678, 276, 560?

We can find the highest common divisor of 358, 678, 276, 560 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 358, 678, 276, 560 i.e 2.

3. How can I use the GCD of 358, 678, 276, 560Calculator?

Out the numbers 358, 678, 276, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.