GCD of 514, 120, 707, 142 Calculator

Given Input numbers are 514, 120, 707, 142

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

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

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 707 :

The positive integer divisors of 707 that completely divides 707 are.

1, 7, 101, 707

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (514, 120, 707, 142) = 1.

Given numbers are 514, 120, 707, 142

The list of prime factors of all numbers are

Prime factors of 514 are 2 x 257

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

Prime factors of 707 are 7 x 101

Prime factors of 142 are 2 x 71

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

Given numbers are 514, 120, 707, 142

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

Apply this formula for all numbers.

Step1:

LCM(514, 120) = 30840

GCD(514, 120) = ( 514 x 120 ) / 30840

= 514 / 120

= 514

Step2:

LCM(2, 707) = 1414

GCD(2, 707) = ( 2 x 707 ) / 1414

= 2 / 707

= 2

Step3:

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

= 1 / 142

= 1

So, Greatest Common Divisor of 514, 120, 707, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 323, 340, 134, 284
• GCD of 534, 823, 658, 449
• GCD of 118, 222, 185, 741
• GCD of 992, 743, 140, 422
• GCD of 924, 101, 811, 216

Given numbers are 514, 120, 707, 142
The greatest common divisor of numbers 514, 120, 707, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 514, 120, 707, 142 is 1.

1. What is the GCD of 514, 120, 707, 142?

GCD of given numbers 514, 120, 707, 142 is 1

2. How to calculate the greatest common divisor of 514, 120, 707, 142?

We can find the highest common divisor of 514, 120, 707, 142 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 514, 120, 707, 142 i.e 1.

3. How can I use the GCD of 514, 120, 707, 142Calculator?

Out the numbers 514, 120, 707, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.