GCD of 132, 242, 942, 700 Calculator

Given Input numbers are 132, 242, 942, 700

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

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 242 :

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

1, 2, 11, 22, 121, 242

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

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

GCD of numbers is the greatest common divisor

So, the GCD (132, 242, 942, 700) = 2.

Given numbers are 132, 242, 942, 700

The list of prime factors of all numbers are

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 242 are 2 x 11 x 11

Prime factors of 942 are 2 x 3 x 157

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

The highest common occurrence is 2¹

Therefore, GCD of 132, 242, 942, 700 is 2.

Given numbers are 132, 242, 942, 700

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

Apply this formula for all numbers.

Step1:

LCM(132, 242) = 1452

GCD(132, 242) = ( 132 x 242 ) / 1452

= 132 / 242

= 132

Step2:

LCM(22, 942) = 10362

GCD(22, 942) = ( 22 x 942 ) / 10362

= 22 / 942

= 22

Step3:

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

= 2 / 700

= 2

So, Greatest Common Divisor of 132, 242, 942, 700 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 800, 313, 463
• GCD of 694, 266, 244, 296
• GCD of 271, 381, 292, 949
• GCD of 690, 201, 742, 529
• GCD of 237, 975, 364, 896

Given numbers are 132, 242, 942, 700
The greatest common divisor of numbers 132, 242, 942, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 242, 942, 700 is 2.

1. What is the GCD of 132, 242, 942, 700?

GCD of given numbers 132, 242, 942, 700 is 2

2. How to calculate the greatest common divisor of 132, 242, 942, 700?

We can find the highest common divisor of 132, 242, 942, 700 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 132, 242, 942, 700 i.e 2.

3. How can I use the GCD of 132, 242, 942, 700Calculator?

Out the numbers 132, 242, 942, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.