GCD of 560, 498, 274, 142 Calculator

Given Input numbers are 560, 498, 274, 142

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

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

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 274 :

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

1, 2, 137, 274

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (560, 498, 274, 142) = 2.

Given numbers are 560, 498, 274, 142

The list of prime factors of all numbers are

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

Prime factors of 498 are 2 x 3 x 83

Prime factors of 274 are 2 x 137

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 560, 498, 274, 142 is 2.

Given numbers are 560, 498, 274, 142

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

Apply this formula for all numbers.

Step1:

LCM(560, 498) = 139440

GCD(560, 498) = ( 560 x 498 ) / 139440

= 560 / 498

= 560

Step2:

LCM(2, 274) = 274

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

= 2 / 274

= 2

Step3:

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

= 2 / 142

= 2

So, Greatest Common Divisor of 560, 498, 274, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 195, 936, 994
• GCD of 434, 860, 681, 741
• GCD of 280, 613, 541, 526
• GCD of 475, 886, 611, 664
• GCD of 551, 519, 934, 608

Given numbers are 560, 498, 274, 142
The greatest common divisor of numbers 560, 498, 274, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 498, 274, 142 is 2.

1. What is the GCD of 560, 498, 274, 142?

GCD of given numbers 560, 498, 274, 142 is 2

2. How to calculate the greatest common divisor of 560, 498, 274, 142?

We can find the highest common divisor of 560, 498, 274, 142 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 560, 498, 274, 142 i.e 2.

3. How can I use the GCD of 560, 498, 274, 142Calculator?

Out the numbers 560, 498, 274, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.