GCD of 700, 976, 966, 104 Calculator

Given Input numbers are 700, 976, 966, 104

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

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

GCD of numbers is the greatest common divisor

So, the GCD (700, 976, 966, 104) = 2.

Given numbers are 700, 976, 966, 104

The list of prime factors of all numbers are

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 104 are 2 x 2 x 2 x 13

The highest common occurrence is 2¹

Therefore, GCD of 700, 976, 966, 104 is 2.

Given numbers are 700, 976, 966, 104

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

Apply this formula for all numbers.

Step1:

LCM(700, 976) = 170800

GCD(700, 976) = ( 700 x 976 ) / 170800

= 700 / 976

= 700

Step2:

LCM(4, 966) = 1932

GCD(4, 966) = ( 4 x 966 ) / 1932

= 4 / 966

= 4

Step3:

LCM(2, 104) = 104

GCD(2, 104) = ( 2 x 104 ) / 104

= 2 / 104

= 2

So, Greatest Common Divisor of 700, 976, 966, 104 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 891, 707, 556, 861
• GCD of 289, 760, 719, 437
• GCD of 654, 311, 588, 654
• GCD of 165, 848, 223, 635
• GCD of 700, 824, 806, 853

Given numbers are 700, 976, 966, 104
The greatest common divisor of numbers 700, 976, 966, 104 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 976, 966, 104 is 2.

1. What is the GCD of 700, 976, 966, 104?

GCD of given numbers 700, 976, 966, 104 is 2

2. How to calculate the greatest common divisor of 700, 976, 966, 104?

We can find the highest common divisor of 700, 976, 966, 104 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 700, 976, 966, 104 i.e 2.

3. How can I use the GCD of 700, 976, 966, 104Calculator?

Out the numbers 700, 976, 966, 104 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.