GCD of 141, 975, 120, 109 Calculator

Given Input numbers are 141, 975, 120, 109

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

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (141, 975, 120, 109) = 1.

Given numbers are 141, 975, 120, 109

The list of prime factors of all numbers are

Prime factors of 141 are 3 x 47

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 109 are 109

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

Given numbers are 141, 975, 120, 109

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

Apply this formula for all numbers.

Step1:

LCM(141, 975) = 45825

GCD(141, 975) = ( 141 x 975 ) / 45825

= 141 / 975

= 141

Step2:

LCM(3, 120) = 120

GCD(3, 120) = ( 3 x 120 ) / 120

= 3 / 120

= 3

Step3:

LCM(3, 109) = 327

GCD(3, 109) = ( 3 x 109 ) / 327

= 3 / 109

= 3

So, Greatest Common Divisor of 141, 975, 120, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 746, 245, 789, 258
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Given numbers are 141, 975, 120, 109
The greatest common divisor of numbers 141, 975, 120, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 141, 975, 120, 109 is 1.

1. What is the GCD of 141, 975, 120, 109?

GCD of given numbers 141, 975, 120, 109 is 1

2. How to calculate the greatest common divisor of 141, 975, 120, 109?

We can find the highest common divisor of 141, 975, 120, 109 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 141, 975, 120, 109 i.e 1.

3. How can I use the GCD of 141, 975, 120, 109Calculator?

Out the numbers 141, 975, 120, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.