GCD of 973, 854, 704, 142 Calculator

Given Input numbers are 973, 854, 704, 142

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

Divisors of 973 :

The positive integer divisors of 973 that completely divides 973 are.

1, 7, 139, 973

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

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 (973, 854, 704, 142) = 1.

Given numbers are 973, 854, 704, 142

The list of prime factors of all numbers are

Prime factors of 973 are 7 x 139

Prime factors of 854 are 2 x 7 x 61

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

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 973, 854, 704, 142

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

Apply this formula for all numbers.

Step1:

LCM(973, 854) = 118706

GCD(973, 854) = ( 973 x 854 ) / 118706

= 973 / 854

= 973

Step2:

LCM(7, 704) = 4928

GCD(7, 704) = ( 7 x 704 ) / 4928

= 7 / 704

= 7

Step3:

LCM(1, 142) = 142

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

= 1 / 142

= 1

So, Greatest Common Divisor of 973, 854, 704, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 480, 316, 110, 575
• GCD of 343, 706, 660, 983
• GCD of 945, 430, 681, 489
• GCD of 364, 698, 763, 957
• GCD of 576, 455, 839, 776

Given numbers are 973, 854, 704, 142
The greatest common divisor of numbers 973, 854, 704, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 973, 854, 704, 142 is 1.

1. What is the GCD of 973, 854, 704, 142?

GCD of given numbers 973, 854, 704, 142 is 1

2. How to calculate the greatest common divisor of 973, 854, 704, 142?

We can find the highest common divisor of 973, 854, 704, 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 973, 854, 704, 142 i.e 1.

3. How can I use the GCD of 973, 854, 704, 142Calculator?

Out the numbers 973, 854, 704, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.