GCD of 742, 529, 358, 214 Calculator

Given Input numbers are 742, 529, 358, 214

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 529 :

The positive integer divisors of 529 that completely divides 529 are.

1, 23, 529

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (742, 529, 358, 214) = 1.

Given numbers are 742, 529, 358, 214

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 529 are 23 x 23

Prime factors of 358 are 2 x 179

Prime factors of 214 are 2 x 107

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

Given numbers are 742, 529, 358, 214

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

Apply this formula for all numbers.

Step1:

LCM(742, 529) = 392518

GCD(742, 529) = ( 742 x 529 ) / 392518

= 742 / 529

= 742

Step2:

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

= 1 / 358

= 1

Step3:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

So, Greatest Common Divisor of 742, 529, 358, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 941, 735, 355, 114
• GCD of 911, 592, 301, 959
• GCD of 665, 248, 588, 183
• GCD of 935, 910, 802, 786
• GCD of 919, 798, 839, 882

Given numbers are 742, 529, 358, 214
The greatest common divisor of numbers 742, 529, 358, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 529, 358, 214 is 1.

1. What is the GCD of 742, 529, 358, 214?

GCD of given numbers 742, 529, 358, 214 is 1

2. How to calculate the greatest common divisor of 742, 529, 358, 214?

We can find the highest common divisor of 742, 529, 358, 214 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, 529, 358, 214 i.e 1.

3. How can I use the GCD of 742, 529, 358, 214Calculator?

Out the numbers 742, 529, 358, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.