GCD of 632, 122, 414, 742 Calculator

Given Input numbers are 632, 122, 414, 742

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

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 742 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (632, 122, 414, 742) = 2.

Given numbers are 632, 122, 414, 742

The list of prime factors of all numbers are

Prime factors of 632 are 2 x 2 x 2 x 79

Prime factors of 122 are 2 x 61

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 742 are 2 x 7 x 53

The highest common occurrence is 2¹

Therefore, GCD of 632, 122, 414, 742 is 2.

Given numbers are 632, 122, 414, 742

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

Apply this formula for all numbers.

Step1:

LCM(632, 122) = 38552

GCD(632, 122) = ( 632 x 122 ) / 38552

= 632 / 122

= 632

Step2:

LCM(2, 414) = 414

GCD(2, 414) = ( 2 x 414 ) / 414

= 2 / 414

= 2

Step3:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

So, Greatest Common Divisor of 632, 122, 414, 742 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 795, 674, 781, 374
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Given numbers are 632, 122, 414, 742
The greatest common divisor of numbers 632, 122, 414, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 632, 122, 414, 742 is 2.

1. What is the GCD of 632, 122, 414, 742?

GCD of given numbers 632, 122, 414, 742 is 2

2. How to calculate the greatest common divisor of 632, 122, 414, 742?

We can find the highest common divisor of 632, 122, 414, 742 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 632, 122, 414, 742 i.e 2.

3. How can I use the GCD of 632, 122, 414, 742Calculator?

Out the numbers 632, 122, 414, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.