GCD of 120, 755, 105, 534 Calculator

Given Input numbers are 120, 755, 105, 534

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

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 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 534 :

The positive integer divisors of 534 that completely divides 534 are.

1, 2, 3, 6, 89, 178, 267, 534

GCD of numbers is the greatest common divisor

So, the GCD (120, 755, 105, 534) = 1.

Given numbers are 120, 755, 105, 534

The list of prime factors of all numbers are

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

Prime factors of 755 are 5 x 151

Prime factors of 105 are 3 x 5 x 7

Prime factors of 534 are 2 x 3 x 89

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

Given numbers are 120, 755, 105, 534

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

Apply this formula for all numbers.

Step1:

LCM(120, 755) = 18120

GCD(120, 755) = ( 120 x 755 ) / 18120

= 120 / 755

= 120

Step2:

LCM(5, 105) = 105

GCD(5, 105) = ( 5 x 105 ) / 105

= 5 / 105

= 5

Step3:

LCM(5, 534) = 2670

GCD(5, 534) = ( 5 x 534 ) / 2670

= 5 / 534

= 5

So, Greatest Common Divisor of 120, 755, 105, 534 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 615, 452, 902, 832
• GCD of 500, 597, 466, 812
• GCD of 411, 698, 176, 603
• GCD of 572, 771, 675, 317
• GCD of 965, 625, 788, 532

Given numbers are 120, 755, 105, 534
The greatest common divisor of numbers 120, 755, 105, 534 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 755, 105, 534 is 1.

1. What is the GCD of 120, 755, 105, 534?

GCD of given numbers 120, 755, 105, 534 is 1

2. How to calculate the greatest common divisor of 120, 755, 105, 534?

We can find the highest common divisor of 120, 755, 105, 534 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 120, 755, 105, 534 i.e 1.

3. How can I use the GCD of 120, 755, 105, 534Calculator?

Out the numbers 120, 755, 105, 534 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.