GCD of 550, 630, 342, 142 Calculator

Given Input numbers are 550, 630, 342, 142

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

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

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 (550, 630, 342, 142) = 2.

Given numbers are 550, 630, 342, 142

The list of prime factors of all numbers are

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 550, 630, 342, 142 is 2.

Given numbers are 550, 630, 342, 142

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

Apply this formula for all numbers.

Step1:

LCM(550, 630) = 34650

GCD(550, 630) = ( 550 x 630 ) / 34650

= 550 / 630

= 550

Step2:

LCM(10, 342) = 1710

GCD(10, 342) = ( 10 x 342 ) / 1710

= 10 / 342

= 10

Step3:

LCM(2, 142) = 142

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

= 2 / 142

= 2

So, Greatest Common Divisor of 550, 630, 342, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 680, 412, 710, 891
• GCD of 840, 418, 451, 641
• GCD of 917, 300, 587, 446
• GCD of 824, 347, 971, 356
• GCD of 449, 553, 967, 145

Given numbers are 550, 630, 342, 142
The greatest common divisor of numbers 550, 630, 342, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 630, 342, 142 is 2.

1. What is the GCD of 550, 630, 342, 142?

GCD of given numbers 550, 630, 342, 142 is 2

2. How to calculate the greatest common divisor of 550, 630, 342, 142?

We can find the highest common divisor of 550, 630, 342, 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 550, 630, 342, 142 i.e 2.

3. How can I use the GCD of 550, 630, 342, 142Calculator?

Out the numbers 550, 630, 342, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.