GCD of 700, 986, 224, 484 Calculator

Given Input numbers are 700, 986, 224, 484

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 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

GCD of numbers is the greatest common divisor

So, the GCD (700, 986, 224, 484) = 2.

Given numbers are 700, 986, 224, 484

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 986 are 2 x 17 x 29

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 484 are 2 x 2 x 11 x 11

The highest common occurrence is 2¹

Therefore, GCD of 700, 986, 224, 484 is 2.

Given numbers are 700, 986, 224, 484

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

Apply this formula for all numbers.

Step1:

LCM(700, 986) = 345100

GCD(700, 986) = ( 700 x 986 ) / 345100

= 700 / 986

= 700

Step2:

LCM(2, 224) = 224

GCD(2, 224) = ( 2 x 224 ) / 224

= 2 / 224

= 2

Step3:

LCM(2, 484) = 484

GCD(2, 484) = ( 2 x 484 ) / 484

= 2 / 484

= 2

So, Greatest Common Divisor of 700, 986, 224, 484 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 816, 511, 708, 339
• GCD of 347, 277, 511, 670
• GCD of 458, 441, 145, 597
• GCD of 676, 237, 291, 308
• GCD of 388, 104, 219, 482

Given numbers are 700, 986, 224, 484
The greatest common divisor of numbers 700, 986, 224, 484 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 986, 224, 484 is 2.

1. What is the GCD of 700, 986, 224, 484?

GCD of given numbers 700, 986, 224, 484 is 2

2. How to calculate the greatest common divisor of 700, 986, 224, 484?

We can find the highest common divisor of 700, 986, 224, 484 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, 986, 224, 484 i.e 2.

3. How can I use the GCD of 700, 986, 224, 484Calculator?

Out the numbers 700, 986, 224, 484 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.