GCD of 686, 224, 525 Calculator

Given Input numbers are 686, 224, 525

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 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 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

GCD of numbers is the greatest common divisor

So, the GCD (686, 224, 525) = 7.

Given numbers are 686, 224, 525

The list of prime factors of all numbers are

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

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

Prime factors of 525 are 3 x 5 x 5 x 7

The highest common occurrence is 7¹

Therefore, GCD of 686, 224, 525 is 7.

Given numbers are 686, 224, 525

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

Apply this formula for all numbers.

Step1:

LCM(686, 224) = 10976

GCD(686, 224) = ( 686 x 224 ) / 10976

= 686 / 224

= 686

Step2:

LCM(14, 525) = 1050

GCD(14, 525) = ( 14 x 525 ) / 1050

= 14 / 525

= 14

So, Greatest Common Divisor of 686, 224, 525 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 795, 931, 757
• GCD of 405, 609, 468
• GCD of 941, 179, 888
• GCD of 208, 381, 980
• GCD of 804, 194, 583

Given numbers are 686, 224, 525
The greatest common divisor of numbers 686, 224, 525 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 224, 525 is 7.

1. What is the GCD of 686, 224, 525?

GCD of given numbers 686, 224, 525 is 7

2. How to calculate the greatest common divisor of 686, 224, 525?

We can find the highest common divisor of 686, 224, 525 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, 224, 525 i.e 7.

3. How can I use the GCD of 686, 224, 525Calculator?

Out the numbers 686, 224, 525 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.