GCD of 550, 152, 698, 240 Calculator

Given Input numbers are 550, 152, 698, 240

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 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

GCD of numbers is the greatest common divisor

So, the GCD (550, 152, 698, 240) = 2.

Given numbers are 550, 152, 698, 240

The list of prime factors of all numbers are

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

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 698 are 2 x 349

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 550, 152, 698, 240 is 2.

Given numbers are 550, 152, 698, 240

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

Apply this formula for all numbers.

Step1:

LCM(550, 152) = 41800

GCD(550, 152) = ( 550 x 152 ) / 41800

= 550 / 152

= 550

Step2:

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2

Step3:

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

= 2 / 240

= 2

So, Greatest Common Divisor of 550, 152, 698, 240 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 836, 659, 321, 632
• GCD of 700, 744, 690, 970
• GCD of 687, 522, 505, 523
• GCD of 158, 411, 854, 321
• GCD of 669, 549, 250, 635

Given numbers are 550, 152, 698, 240
The greatest common divisor of numbers 550, 152, 698, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 152, 698, 240 is 2.

1. What is the GCD of 550, 152, 698, 240?

GCD of given numbers 550, 152, 698, 240 is 2

2. How to calculate the greatest common divisor of 550, 152, 698, 240?

We can find the highest common divisor of 550, 152, 698, 240 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, 152, 698, 240 i.e 2.

3. How can I use the GCD of 550, 152, 698, 240Calculator?

Out the numbers 550, 152, 698, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.