GCD of 466, 676, 896, 700 Calculator

Given Input numbers are 466, 676, 896, 700

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

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

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

GCD of numbers is the greatest common divisor

So, the GCD (466, 676, 896, 700) = 2.

Given numbers are 466, 676, 896, 700

The list of prime factors of all numbers are

Prime factors of 466 are 2 x 233

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 466, 676, 896, 700 is 2.

Given numbers are 466, 676, 896, 700

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

Apply this formula for all numbers.

Step1:

LCM(466, 676) = 157508

GCD(466, 676) = ( 466 x 676 ) / 157508

= 466 / 676

= 466

Step2:

LCM(2, 896) = 896

GCD(2, 896) = ( 2 x 896 ) / 896

= 2 / 896

= 2

Step3:

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

= 2 / 700

= 2

So, Greatest Common Divisor of 466, 676, 896, 700 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 652, 692, 231, 565
• GCD of 192, 659, 727, 294
• GCD of 397, 319, 555, 426
• GCD of 906, 905, 209, 483
• GCD of 692, 252, 247, 338

Given numbers are 466, 676, 896, 700
The greatest common divisor of numbers 466, 676, 896, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 466, 676, 896, 700 is 2.

1. What is the GCD of 466, 676, 896, 700?

GCD of given numbers 466, 676, 896, 700 is 2

2. How to calculate the greatest common divisor of 466, 676, 896, 700?

We can find the highest common divisor of 466, 676, 896, 700 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 466, 676, 896, 700 i.e 2.

3. How can I use the GCD of 466, 676, 896, 700Calculator?

Out the numbers 466, 676, 896, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.