GCD of 564, 490, 274, 914 Calculator

Given Input numbers are 564, 490, 274, 914

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

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 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

GCD of numbers is the greatest common divisor

So, the GCD (564, 490, 274, 914) = 2.

Given numbers are 564, 490, 274, 914

The list of prime factors of all numbers are

Prime factors of 564 are 2 x 2 x 3 x 47

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

Prime factors of 274 are 2 x 137

Prime factors of 914 are 2 x 457

The highest common occurrence is 2¹

Therefore, GCD of 564, 490, 274, 914 is 2.

Given numbers are 564, 490, 274, 914

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

Apply this formula for all numbers.

Step1:

LCM(564, 490) = 138180

GCD(564, 490) = ( 564 x 490 ) / 138180

= 564 / 490

= 564

Step2:

LCM(2, 274) = 274

GCD(2, 274) = ( 2 x 274 ) / 274

= 2 / 274

= 2

Step3:

LCM(2, 914) = 914

GCD(2, 914) = ( 2 x 914 ) / 914

= 2 / 914

= 2

So, Greatest Common Divisor of 564, 490, 274, 914 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 713, 535, 387, 982
• GCD of 682, 620, 883, 159
• GCD of 738, 644, 520, 602
• GCD of 839, 131, 810, 715
• GCD of 332, 583, 712, 792

Given numbers are 564, 490, 274, 914
The greatest common divisor of numbers 564, 490, 274, 914 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 490, 274, 914 is 2.

1. What is the GCD of 564, 490, 274, 914?

GCD of given numbers 564, 490, 274, 914 is 2

2. How to calculate the greatest common divisor of 564, 490, 274, 914?

We can find the highest common divisor of 564, 490, 274, 914 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 564, 490, 274, 914 i.e 2.

3. How can I use the GCD of 564, 490, 274, 914Calculator?

Out the numbers 564, 490, 274, 914 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.