GCD of 121, 345, 538, 140 Calculator

Given Input numbers are 121, 345, 538, 140

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

Divisors of 121 :

The positive integer divisors of 121 that completely divides 121 are.

1, 11, 121

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 538 :

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

1, 2, 269, 538

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

GCD of numbers is the greatest common divisor

So, the GCD (121, 345, 538, 140) = 1.

Given numbers are 121, 345, 538, 140

The list of prime factors of all numbers are

Prime factors of 121 are 11 x 11

Prime factors of 345 are 3 x 5 x 23

Prime factors of 538 are 2 x 269

Prime factors of 140 are 2 x 2 x 5 x 7

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

Given numbers are 121, 345, 538, 140

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

Apply this formula for all numbers.

Step1:

LCM(121, 345) = 41745

GCD(121, 345) = ( 121 x 345 ) / 41745

= 121 / 345

= 121

Step2:

LCM(1, 538) = 538

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

= 1 / 538

= 1

Step3:

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

= 1 / 140

= 1

So, Greatest Common Divisor of 121, 345, 538, 140 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 755, 113, 264
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• GCD of 996, 970, 798, 900

Given numbers are 121, 345, 538, 140
The greatest common divisor of numbers 121, 345, 538, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 121, 345, 538, 140 is 1.

1. What is the GCD of 121, 345, 538, 140?

GCD of given numbers 121, 345, 538, 140 is 1

2. How to calculate the greatest common divisor of 121, 345, 538, 140?

We can find the highest common divisor of 121, 345, 538, 140 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 121, 345, 538, 140 i.e 1.

3. How can I use the GCD of 121, 345, 538, 140Calculator?

Out the numbers 121, 345, 538, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.