GCD of 986, 872, 700, 448 Calculator

Given Input numbers are 986, 872, 700, 448

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

Divisors of 986 :

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

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

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

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 448 :

The positive integer divisors of 448 that completely divides 448 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (986, 872, 700, 448) = 2.

Given numbers are 986, 872, 700, 448

The list of prime factors of all numbers are

Prime factors of 986 are 2 x 17 x 29

Prime factors of 872 are 2 x 2 x 2 x 109

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

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 986, 872, 700, 448 is 2.

Given numbers are 986, 872, 700, 448

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

Apply this formula for all numbers.

Step1:

LCM(986, 872) = 429896

GCD(986, 872) = ( 986 x 872 ) / 429896

= 986 / 872

= 986

Step2:

LCM(2, 700) = 700

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

= 2 / 700

= 2

Step3:

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

= 2 / 448

= 2

So, Greatest Common Divisor of 986, 872, 700, 448 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 641, 348, 586, 988
• GCD of 160, 852, 512, 841
• GCD of 716, 303, 158, 600
• GCD of 962, 540, 998, 565
• GCD of 604, 531, 574, 194

Given numbers are 986, 872, 700, 448
The greatest common divisor of numbers 986, 872, 700, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 872, 700, 448 is 2.

1. What is the GCD of 986, 872, 700, 448?

GCD of given numbers 986, 872, 700, 448 is 2

2. How to calculate the greatest common divisor of 986, 872, 700, 448?

We can find the highest common divisor of 986, 872, 700, 448 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 986, 872, 700, 448 i.e 2.

3. How can I use the GCD of 986, 872, 700, 448Calculator?

Out the numbers 986, 872, 700, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.