GCD of 480, 921, 714, 686 Calculator

Given Input numbers are 480, 921, 714, 686

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 686 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (480, 921, 714, 686) = 1.

Given numbers are 480, 921, 714, 686

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 921 are 3 x 307

Prime factors of 714 are 2 x 3 x 7 x 17

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 480, 921, 714, 686

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

Apply this formula for all numbers.

Step1:

LCM(480, 921) = 147360

GCD(480, 921) = ( 480 x 921 ) / 147360

= 480 / 921

= 480

Step2:

LCM(3, 714) = 714

GCD(3, 714) = ( 3 x 714 ) / 714

= 3 / 714

= 3

Step3:

LCM(3, 686) = 2058

GCD(3, 686) = ( 3 x 686 ) / 2058

= 3 / 686

= 3

So, Greatest Common Divisor of 480, 921, 714, 686 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 637, 480, 488, 862
• GCD of 983, 136, 492, 386
• GCD of 705, 841, 291, 825
• GCD of 333, 129, 383, 426
• GCD of 715, 771, 281, 326

Given numbers are 480, 921, 714, 686
The greatest common divisor of numbers 480, 921, 714, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 921, 714, 686 is 1.

1. What is the GCD of 480, 921, 714, 686?

GCD of given numbers 480, 921, 714, 686 is 1

2. How to calculate the greatest common divisor of 480, 921, 714, 686?

We can find the highest common divisor of 480, 921, 714, 686 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 480, 921, 714, 686 i.e 1.

3. How can I use the GCD of 480, 921, 714, 686Calculator?

Out the numbers 480, 921, 714, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.