GCD of 686, 152, 210, 448 Calculator

Given Input numbers are 686, 152, 210, 448

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

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

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 (686, 152, 210, 448) = 2.

Given numbers are 686, 152, 210, 448

The list of prime factors of all numbers are

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 210 are 2 x 3 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 686, 152, 210, 448 is 2.

Given numbers are 686, 152, 210, 448

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

Apply this formula for all numbers.

Step1:

LCM(686, 152) = 52136

GCD(686, 152) = ( 686 x 152 ) / 52136

= 686 / 152

= 686

Step2:

LCM(2, 210) = 210

GCD(2, 210) = ( 2 x 210 ) / 210

= 2 / 210

= 2

Step3:

LCM(2, 448) = 448

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

= 2 / 448

= 2

So, Greatest Common Divisor of 686, 152, 210, 448 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 751, 235, 534, 179
• GCD of 110, 872, 944, 495
• GCD of 101, 244, 526, 271
• GCD of 486, 639, 654, 488
• GCD of 556, 158, 169, 314

Given numbers are 686, 152, 210, 448
The greatest common divisor of numbers 686, 152, 210, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 152, 210, 448 is 2.

1. What is the GCD of 686, 152, 210, 448?

GCD of given numbers 686, 152, 210, 448 is 2

2. How to calculate the greatest common divisor of 686, 152, 210, 448?

We can find the highest common divisor of 686, 152, 210, 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 686, 152, 210, 448 i.e 2.

3. How can I use the GCD of 686, 152, 210, 448Calculator?

Out the numbers 686, 152, 210, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.