GCD of 252, 722, 750, 242 Calculator

Given Input numbers are 252, 722, 750, 242

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

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

GCD of numbers is the greatest common divisor

So, the GCD (252, 722, 750, 242) = 2.

Given numbers are 252, 722, 750, 242

The list of prime factors of all numbers are

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 722 are 2 x 19 x 19

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 242 are 2 x 11 x 11

The highest common occurrence is 2¹

Therefore, GCD of 252, 722, 750, 242 is 2.

Given numbers are 252, 722, 750, 242

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

Apply this formula for all numbers.

Step1:

LCM(252, 722) = 90972

GCD(252, 722) = ( 252 x 722 ) / 90972

= 252 / 722

= 252

Step2:

LCM(2, 750) = 750

GCD(2, 750) = ( 2 x 750 ) / 750

= 2 / 750

= 2

Step3:

LCM(2, 242) = 242

GCD(2, 242) = ( 2 x 242 ) / 242

= 2 / 242

= 2

So, Greatest Common Divisor of 252, 722, 750, 242 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 928, 835, 153, 440
• GCD of 545, 397, 788, 197
• GCD of 532, 847, 941, 165
• GCD of 607, 562, 602, 104
• GCD of 313, 118, 941, 599

Given numbers are 252, 722, 750, 242
The greatest common divisor of numbers 252, 722, 750, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 722, 750, 242 is 2.

1. What is the GCD of 252, 722, 750, 242?

GCD of given numbers 252, 722, 750, 242 is 2

2. How to calculate the greatest common divisor of 252, 722, 750, 242?

We can find the highest common divisor of 252, 722, 750, 242 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 252, 722, 750, 242 i.e 2.

3. How can I use the GCD of 252, 722, 750, 242Calculator?

Out the numbers 252, 722, 750, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.