GCD of 707, 142, 413, 960 Calculator

Given Input numbers are 707, 142, 413, 960

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

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

Divisors of 413 :

The positive integer divisors of 413 that completely divides 413 are.

1, 7, 59, 413

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (707, 142, 413, 960) = 1.

Given numbers are 707, 142, 413, 960

The list of prime factors of all numbers are

Prime factors of 707 are 7 x 101

Prime factors of 142 are 2 x 71

Prime factors of 413 are 7 x 59

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 707, 142, 413, 960

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

Apply this formula for all numbers.

Step1:

LCM(707, 142) = 100394

GCD(707, 142) = ( 707 x 142 ) / 100394

= 707 / 142

= 707

Step2:

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

= 1 / 413

= 1

Step3:

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

= 1 / 960

= 1

So, Greatest Common Divisor of 707, 142, 413, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 901, 383, 151, 810
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• GCD of 177, 195, 879, 100

Given numbers are 707, 142, 413, 960
The greatest common divisor of numbers 707, 142, 413, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 707, 142, 413, 960 is 1.

1. What is the GCD of 707, 142, 413, 960?

GCD of given numbers 707, 142, 413, 960 is 1

2. How to calculate the greatest common divisor of 707, 142, 413, 960?

We can find the highest common divisor of 707, 142, 413, 960 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 707, 142, 413, 960 i.e 1.

3. How can I use the GCD of 707, 142, 413, 960Calculator?

Out the numbers 707, 142, 413, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.