GCD of 469, 152, 343, 997 Calculator

Given Input numbers are 469, 152, 343, 997

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

Divisors of 469 :

The positive integer divisors of 469 that completely divides 469 are.

1, 7, 67, 469

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 343 :

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

1, 7, 49, 343

Divisors of 997 :

The positive integer divisors of 997 that completely divides 997 are.

1, 997

GCD of numbers is the greatest common divisor

So, the GCD (469, 152, 343, 997) = 1.

Given numbers are 469, 152, 343, 997

The list of prime factors of all numbers are

Prime factors of 469 are 7 x 67

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 343 are 7 x 7 x 7

Prime factors of 997 are 997

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

Given numbers are 469, 152, 343, 997

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

Apply this formula for all numbers.

Step1:

LCM(469, 152) = 71288

GCD(469, 152) = ( 469 x 152 ) / 71288

= 469 / 152

= 469

Step2:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1

Step3:

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

= 1 / 997

= 1

So, Greatest Common Divisor of 469, 152, 343, 997 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 857, 433, 632, 166
• GCD of 335, 708, 498, 144
• GCD of 567, 820, 560, 763
• GCD of 302, 969, 859, 314
• GCD of 884, 868, 480, 352

Given numbers are 469, 152, 343, 997
The greatest common divisor of numbers 469, 152, 343, 997 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 469, 152, 343, 997 is 1.

1. What is the GCD of 469, 152, 343, 997?

GCD of given numbers 469, 152, 343, 997 is 1

2. How to calculate the greatest common divisor of 469, 152, 343, 997?

We can find the highest common divisor of 469, 152, 343, 997 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 469, 152, 343, 997 i.e 1.

3. How can I use the GCD of 469, 152, 343, 997Calculator?

Out the numbers 469, 152, 343, 997 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.