GCD of 357, 114, 822, 434 Calculator

Given Input numbers are 357, 114, 822, 434

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

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

GCD of numbers is the greatest common divisor

So, the GCD (357, 114, 822, 434) = 1.

Given numbers are 357, 114, 822, 434

The list of prime factors of all numbers are

Prime factors of 357 are 3 x 7 x 17

Prime factors of 114 are 2 x 3 x 19

Prime factors of 822 are 2 x 3 x 137

Prime factors of 434 are 2 x 7 x 31

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

Given numbers are 357, 114, 822, 434

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

Apply this formula for all numbers.

Step1:

LCM(357, 114) = 13566

GCD(357, 114) = ( 357 x 114 ) / 13566

= 357 / 114

= 357

Step2:

LCM(3, 822) = 822

GCD(3, 822) = ( 3 x 822 ) / 822

= 3 / 822

= 3

Step3:

LCM(3, 434) = 1302

GCD(3, 434) = ( 3 x 434 ) / 1302

= 3 / 434

= 3

So, Greatest Common Divisor of 357, 114, 822, 434 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 863, 543, 217, 597
• GCD of 539, 227, 124, 744
• GCD of 148, 722, 712, 904
• GCD of 819, 631, 995, 824
• GCD of 579, 127, 910, 722

Given numbers are 357, 114, 822, 434
The greatest common divisor of numbers 357, 114, 822, 434 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 114, 822, 434 is 1.

1. What is the GCD of 357, 114, 822, 434?

GCD of given numbers 357, 114, 822, 434 is 1

2. How to calculate the greatest common divisor of 357, 114, 822, 434?

We can find the highest common divisor of 357, 114, 822, 434 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 357, 114, 822, 434 i.e 1.

3. How can I use the GCD of 357, 114, 822, 434Calculator?

Out the numbers 357, 114, 822, 434 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.