GCD of 700, 774, 254, 972 Calculator

Given Input numbers are 700, 774, 254, 972

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 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (700, 774, 254, 972) = 2.

Given numbers are 700, 774, 254, 972

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 774 are 2 x 3 x 3 x 43

Prime factors of 254 are 2 x 127

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 700, 774, 254, 972 is 2.

Given numbers are 700, 774, 254, 972

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

Apply this formula for all numbers.

Step1:

LCM(700, 774) = 270900

GCD(700, 774) = ( 700 x 774 ) / 270900

= 700 / 774

= 700

Step2:

LCM(2, 254) = 254

GCD(2, 254) = ( 2 x 254 ) / 254

= 2 / 254

= 2

Step3:

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

= 2 / 972

= 2

So, Greatest Common Divisor of 700, 774, 254, 972 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 327, 454, 263, 770
• GCD of 279, 711, 277, 935
• GCD of 526, 194, 870, 295
• GCD of 397, 931, 359, 537
• GCD of 257, 477, 458, 876

Given numbers are 700, 774, 254, 972
The greatest common divisor of numbers 700, 774, 254, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 774, 254, 972 is 2.

1. What is the GCD of 700, 774, 254, 972?

GCD of given numbers 700, 774, 254, 972 is 2

2. How to calculate the greatest common divisor of 700, 774, 254, 972?

We can find the highest common divisor of 700, 774, 254, 972 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, 774, 254, 972 i.e 2.

3. How can I use the GCD of 700, 774, 254, 972Calculator?

Out the numbers 700, 774, 254, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.