GCD of 343, 798, 101, 538 Calculator

Given Input numbers are 343, 798, 101, 538

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

Divisors of 343 :

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

1, 7, 49, 343

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 101 :

The positive integer divisors of 101 that completely divides 101 are.

1, 101

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

GCD of numbers is the greatest common divisor

So, the GCD (343, 798, 101, 538) = 1.

Given numbers are 343, 798, 101, 538

The list of prime factors of all numbers are

Prime factors of 343 are 7 x 7 x 7

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 101 are 101

Prime factors of 538 are 2 x 269

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

Given numbers are 343, 798, 101, 538

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

Apply this formula for all numbers.

Step1:

LCM(343, 798) = 39102

GCD(343, 798) = ( 343 x 798 ) / 39102

= 343 / 798

= 343

Step2:

LCM(7, 101) = 707

GCD(7, 101) = ( 7 x 101 ) / 707

= 7 / 101

= 7

Step3:

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

= 1 / 538

= 1

So, Greatest Common Divisor of 343, 798, 101, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 690, 954, 758, 272
• GCD of 297, 339, 760, 434
• GCD of 881, 290, 700, 675
• GCD of 160, 886, 691, 385
• GCD of 469, 572, 641, 828

Given numbers are 343, 798, 101, 538
The greatest common divisor of numbers 343, 798, 101, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 798, 101, 538 is 1.

1. What is the GCD of 343, 798, 101, 538?

GCD of given numbers 343, 798, 101, 538 is 1

2. How to calculate the greatest common divisor of 343, 798, 101, 538?

We can find the highest common divisor of 343, 798, 101, 538 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 343, 798, 101, 538 i.e 1.

3. How can I use the GCD of 343, 798, 101, 538Calculator?

Out the numbers 343, 798, 101, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.