GCD of 280, 976, 354, 490 Calculator

Given Input numbers are 280, 976, 354, 490

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

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 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 354 :

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

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

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

GCD of numbers is the greatest common divisor

So, the GCD (280, 976, 354, 490) = 2.

Given numbers are 280, 976, 354, 490

The list of prime factors of all numbers are

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

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 354 are 2 x 3 x 59

Prime factors of 490 are 2 x 5 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 280, 976, 354, 490 is 2.

Given numbers are 280, 976, 354, 490

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

Apply this formula for all numbers.

Step1:

LCM(280, 976) = 34160

GCD(280, 976) = ( 280 x 976 ) / 34160

= 280 / 976

= 280

Step2:

LCM(8, 354) = 1416

GCD(8, 354) = ( 8 x 354 ) / 1416

= 8 / 354

= 8

Step3:

LCM(2, 490) = 490

GCD(2, 490) = ( 2 x 490 ) / 490

= 2 / 490

= 2

So, Greatest Common Divisor of 280, 976, 354, 490 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 257, 204, 245, 328
• GCD of 655, 727, 999, 833
• GCD of 606, 107, 313, 501
• GCD of 360, 240, 448, 787
• GCD of 637, 610, 934, 462

Given numbers are 280, 976, 354, 490
The greatest common divisor of numbers 280, 976, 354, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 976, 354, 490 is 2.

1. What is the GCD of 280, 976, 354, 490?

GCD of given numbers 280, 976, 354, 490 is 2

2. How to calculate the greatest common divisor of 280, 976, 354, 490?

We can find the highest common divisor of 280, 976, 354, 490 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 280, 976, 354, 490 i.e 2.

3. How can I use the GCD of 280, 976, 354, 490Calculator?

Out the numbers 280, 976, 354, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.