GCD of 642, 742, 120, 353 Calculator

Given Input numbers are 642, 742, 120, 353

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

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 742 :

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

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

GCD of numbers is the greatest common divisor

So, the GCD (642, 742, 120, 353) = 1.

Given numbers are 642, 742, 120, 353

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 742 are 2 x 7 x 53

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 353 are 353

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 642, 742, 120, 353

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

Apply this formula for all numbers.

Step1:

LCM(642, 742) = 238182

GCD(642, 742) = ( 642 x 742 ) / 238182

= 642 / 742

= 642

Step2:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

Step3:

LCM(2, 353) = 706

GCD(2, 353) = ( 2 x 353 ) / 706

= 2 / 353

= 2

So, Greatest Common Divisor of 642, 742, 120, 353 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 661, 866, 983, 261
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• GCD of 889, 674, 584, 603
• GCD of 236, 944, 840, 577
• GCD of 360, 147, 603, 687

Given numbers are 642, 742, 120, 353
The greatest common divisor of numbers 642, 742, 120, 353 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 742, 120, 353 is 1.

1. What is the GCD of 642, 742, 120, 353?

GCD of given numbers 642, 742, 120, 353 is 1

2. How to calculate the greatest common divisor of 642, 742, 120, 353?

We can find the highest common divisor of 642, 742, 120, 353 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 642, 742, 120, 353 i.e 1.

3. How can I use the GCD of 642, 742, 120, 353Calculator?

Out the numbers 642, 742, 120, 353 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.