GCD of 237, 435, 343, 972 Calculator

Given Input numbers are 237, 435, 343, 972

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

Divisors of 237 :

The positive integer divisors of 237 that completely divides 237 are.

1, 3, 79, 237

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (237, 435, 343, 972) = 1.

Given numbers are 237, 435, 343, 972

The list of prime factors of all numbers are

Prime factors of 237 are 3 x 79

Prime factors of 435 are 3 x 5 x 29

Prime factors of 343 are 7 x 7 x 7

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Given numbers are 237, 435, 343, 972

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

Apply this formula for all numbers.

Step1:

LCM(237, 435) = 34365

GCD(237, 435) = ( 237 x 435 ) / 34365

= 237 / 435

= 237

Step2:

LCM(3, 343) = 1029

GCD(3, 343) = ( 3 x 343 ) / 1029

= 3 / 343

= 3

Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

So, Greatest Common Divisor of 237, 435, 343, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 219, 205, 291, 250
• GCD of 140, 521, 200, 707
• GCD of 534, 688, 459, 928
• GCD of 381, 358, 904, 324
• GCD of 420, 721, 161, 149

Given numbers are 237, 435, 343, 972
The greatest common divisor of numbers 237, 435, 343, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 237, 435, 343, 972 is 1.

1. What is the GCD of 237, 435, 343, 972?

GCD of given numbers 237, 435, 343, 972 is 1

2. How to calculate the greatest common divisor of 237, 435, 343, 972?

We can find the highest common divisor of 237, 435, 343, 972 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 237, 435, 343, 972 i.e 1.

3. How can I use the GCD of 237, 435, 343, 972Calculator?

Out the numbers 237, 435, 343, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.