GCD of 970, 374, 976, 900 Calculator

Given Input numbers are 970, 374, 976, 900

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

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

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 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (970, 374, 976, 900) = 2.

Given numbers are 970, 374, 976, 900

The list of prime factors of all numbers are

Prime factors of 970 are 2 x 5 x 97

Prime factors of 374 are 2 x 11 x 17

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

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 970, 374, 976, 900 is 2.

Given numbers are 970, 374, 976, 900

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

Apply this formula for all numbers.

Step1:

LCM(970, 374) = 181390

GCD(970, 374) = ( 970 x 374 ) / 181390

= 970 / 374

= 970

Step2:

LCM(2, 976) = 976

GCD(2, 976) = ( 2 x 976 ) / 976

= 2 / 976

= 2

Step3:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2

So, Greatest Common Divisor of 970, 374, 976, 900 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 798, 501, 295, 962
• GCD of 103, 941, 516, 554
• GCD of 576, 485, 345, 961
• GCD of 605, 127, 567, 470
• GCD of 376, 440, 589, 178

Given numbers are 970, 374, 976, 900
The greatest common divisor of numbers 970, 374, 976, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 970, 374, 976, 900 is 2.

1. What is the GCD of 970, 374, 976, 900?

GCD of given numbers 970, 374, 976, 900 is 2

2. How to calculate the greatest common divisor of 970, 374, 976, 900?

We can find the highest common divisor of 970, 374, 976, 900 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 970, 374, 976, 900 i.e 2.

3. How can I use the GCD of 970, 374, 976, 900Calculator?

Out the numbers 970, 374, 976, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.