GCD of 354, 532, 280, 518 Calculator

Given Input numbers are 354, 532, 280, 518

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

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

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

GCD of numbers is the greatest common divisor

So, the GCD (354, 532, 280, 518) = 2.

Given numbers are 354, 532, 280, 518

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 532 are 2 x 2 x 7 x 19

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 518 are 2 x 7 x 37

The highest common occurrence is 2¹

Therefore, GCD of 354, 532, 280, 518 is 2.

Given numbers are 354, 532, 280, 518

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

Apply this formula for all numbers.

Step1:

LCM(354, 532) = 94164

GCD(354, 532) = ( 354 x 532 ) / 94164

= 354 / 532

= 354

Step2:

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

= 2 / 280

= 2

Step3:

LCM(2, 518) = 518

GCD(2, 518) = ( 2 x 518 ) / 518

= 2 / 518

= 2

So, Greatest Common Divisor of 354, 532, 280, 518 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 288, 694, 378, 327
• GCD of 672, 810, 340, 160
• GCD of 377, 289, 157, 240
• GCD of 560, 673, 415, 424
• GCD of 455, 295, 792, 683

Given numbers are 354, 532, 280, 518
The greatest common divisor of numbers 354, 532, 280, 518 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 532, 280, 518 is 2.

1. What is the GCD of 354, 532, 280, 518?

GCD of given numbers 354, 532, 280, 518 is 2

2. How to calculate the greatest common divisor of 354, 532, 280, 518?

We can find the highest common divisor of 354, 532, 280, 518 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 354, 532, 280, 518 i.e 2.

3. How can I use the GCD of 354, 532, 280, 518Calculator?

Out the numbers 354, 532, 280, 518 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.