GCD of 120, 449, 157, 760 Calculator

Given Input numbers are 120, 449, 157, 760

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 449 :

The positive integer divisors of 449 that completely divides 449 are.

1, 449

Divisors of 157 :

The positive integer divisors of 157 that completely divides 157 are.

1, 157

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

GCD of numbers is the greatest common divisor

So, the GCD (120, 449, 157, 760) = 1.

Given numbers are 120, 449, 157, 760

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 449 are 449

Prime factors of 157 are 157

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

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

Given numbers are 120, 449, 157, 760

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

Apply this formula for all numbers.

Step1:

LCM(120, 449) = 53880

GCD(120, 449) = ( 120 x 449 ) / 53880

= 120 / 449

= 120

Step2:

LCM(1, 157) = 157

GCD(1, 157) = ( 1 x 157 ) / 157

= 1 / 157

= 1

Step3:

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

= 1 / 760

= 1

So, Greatest Common Divisor of 120, 449, 157, 760 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 637, 214, 392, 912
• GCD of 595, 482, 183, 597
• GCD of 710, 947, 875, 174
• GCD of 359, 302, 727, 791
• GCD of 746, 773, 253, 479

Given numbers are 120, 449, 157, 760
The greatest common divisor of numbers 120, 449, 157, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 449, 157, 760 is 1.

1. What is the GCD of 120, 449, 157, 760?

GCD of given numbers 120, 449, 157, 760 is 1

2. How to calculate the greatest common divisor of 120, 449, 157, 760?

We can find the highest common divisor of 120, 449, 157, 760 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, 449, 157, 760 i.e 1.

3. How can I use the GCD of 120, 449, 157, 760Calculator?

Out the numbers 120, 449, 157, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.