GCD of 490, 446, 716, 262 Calculator

Given Input numbers are 490, 446, 716, 262

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

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

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262

GCD of numbers is the greatest common divisor

So, the GCD (490, 446, 716, 262) = 2.

Given numbers are 490, 446, 716, 262

The list of prime factors of all numbers are

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

Prime factors of 446 are 2 x 223

Prime factors of 716 are 2 x 2 x 179

Prime factors of 262 are 2 x 131

The highest common occurrence is 2¹

Therefore, GCD of 490, 446, 716, 262 is 2.

Given numbers are 490, 446, 716, 262

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

Apply this formula for all numbers.

Step1:

LCM(490, 446) = 109270

GCD(490, 446) = ( 490 x 446 ) / 109270

= 490 / 446

= 490

Step2:

LCM(2, 716) = 716

GCD(2, 716) = ( 2 x 716 ) / 716

= 2 / 716

= 2

Step3:

LCM(2, 262) = 262

GCD(2, 262) = ( 2 x 262 ) / 262

= 2 / 262

= 2

So, Greatest Common Divisor of 490, 446, 716, 262 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 669, 788, 508, 651
• GCD of 498, 313, 490, 559
• GCD of 663, 575, 619, 584
• GCD of 730, 632, 315, 900
• GCD of 843, 856, 626, 334

Given numbers are 490, 446, 716, 262
The greatest common divisor of numbers 490, 446, 716, 262 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 446, 716, 262 is 2.

1. What is the GCD of 490, 446, 716, 262?

GCD of given numbers 490, 446, 716, 262 is 2

2. How to calculate the greatest common divisor of 490, 446, 716, 262?

We can find the highest common divisor of 490, 446, 716, 262 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 490, 446, 716, 262 i.e 2.

3. How can I use the GCD of 490, 446, 716, 262Calculator?

Out the numbers 490, 446, 716, 262 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.