GCD of 242, 700, 40, 182 Calculator

Given Input numbers are 242, 700, 40, 182

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

Divisors of 242 :

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

1, 2, 11, 22, 121, 242

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 40 :

The positive integer divisors of 40 that completely divides 40 are.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

GCD of numbers is the greatest common divisor

So, the GCD (242, 700, 40, 182) = 2.

Given numbers are 242, 700, 40, 182

The list of prime factors of all numbers are

Prime factors of 242 are 2 x 11 x 11

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 40 are 2 x 2 x 2 x 5

Prime factors of 182 are 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 242, 700, 40, 182 is 2.

Given numbers are 242, 700, 40, 182

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

Apply this formula for all numbers.

Step1:

LCM(242, 700) = 84700

GCD(242, 700) = ( 242 x 700 ) / 84700

= 242 / 700

= 242

Step2:

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

= 2 / 40

= 2

Step3:

LCM(2, 182) = 182

GCD(2, 182) = ( 2 x 182 ) / 182

= 2 / 182

= 2

So, Greatest Common Divisor of 242, 700, 40, 182 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 266, 670, 87, 323
• GCD of 670, 430, 96, 692
• GCD of 774, 732, 58, 421
• GCD of 371, 141, 57, 797
• GCD of 540, 676, 41, 489

Given numbers are 242, 700, 40, 182
The greatest common divisor of numbers 242, 700, 40, 182 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 700, 40, 182 is 2.

1. What is the GCD of 242, 700, 40, 182?

GCD of given numbers 242, 700, 40, 182 is 2

2. How to calculate the greatest common divisor of 242, 700, 40, 182?

We can find the highest common divisor of 242, 700, 40, 182 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 242, 700, 40, 182 i.e 2.

3. How can I use the GCD of 242, 700, 40, 182Calculator?

Out the numbers 242, 700, 40, 182 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.