GCD of 686, 739, 420, 280 Calculator

Given Input numbers are 686, 739, 420, 280

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 739 :

The positive integer divisors of 739 that completely divides 739 are.

1, 739

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

GCD of numbers is the greatest common divisor

So, the GCD (686, 739, 420, 280) = 1.

Given numbers are 686, 739, 420, 280

The list of prime factors of all numbers are

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

Prime factors of 739 are 739

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

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

Given numbers are 686, 739, 420, 280

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

Apply this formula for all numbers.

Step1:

LCM(686, 739) = 506954

GCD(686, 739) = ( 686 x 739 ) / 506954

= 686 / 739

= 686

Step2:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

Step3:

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

= 1 / 280

= 1

So, Greatest Common Divisor of 686, 739, 420, 280 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 767, 236, 591, 318
• GCD of 384, 638, 991, 446
• GCD of 525, 923, 293, 546
• GCD of 877, 925, 307, 135
• GCD of 517, 661, 940, 125

Given numbers are 686, 739, 420, 280
The greatest common divisor of numbers 686, 739, 420, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 739, 420, 280 is 1.

1. What is the GCD of 686, 739, 420, 280?

GCD of given numbers 686, 739, 420, 280 is 1

2. How to calculate the greatest common divisor of 686, 739, 420, 280?

We can find the highest common divisor of 686, 739, 420, 280 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, 739, 420, 280 i.e 1.

3. How can I use the GCD of 686, 739, 420, 280Calculator?

Out the numbers 686, 739, 420, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.