GCD of 742, 973, 133 Calculator

Given Input numbers are 742, 973, 133

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 973 :

The positive integer divisors of 973 that completely divides 973 are.

1, 7, 139, 973

Divisors of 133 :

The positive integer divisors of 133 that completely divides 133 are.

1, 7, 19, 133

GCD of numbers is the greatest common divisor

So, the GCD (742, 973, 133) = 7.

Given numbers are 742, 973, 133

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 973 are 7 x 139

Prime factors of 133 are 7 x 19

The highest common occurrence is 7¹

Therefore, GCD of 742, 973, 133 is 7.

Given numbers are 742, 973, 133

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

Apply this formula for all numbers.

Step1:

LCM(742, 973) = 103138

GCD(742, 973) = ( 742 x 973 ) / 103138

= 742 / 973

= 742

Step2:

LCM(7, 133) = 133

GCD(7, 133) = ( 7 x 133 ) / 133

= 7 / 133

= 7

So, Greatest Common Divisor of 742, 973, 133 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 332, 713, 875
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• GCD of 394, 586, 612
• GCD of 193, 401, 256
• GCD of 184, 561, 128

Given numbers are 742, 973, 133
The greatest common divisor of numbers 742, 973, 133 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 973, 133 is 7.

1. What is the GCD of 742, 973, 133?

GCD of given numbers 742, 973, 133 is 7

2. How to calculate the greatest common divisor of 742, 973, 133?

We can find the highest common divisor of 742, 973, 133 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 742, 973, 133 i.e 7.

3. How can I use the GCD of 742, 973, 133Calculator?

Out the numbers 742, 973, 133 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.