GCD of 702, 649, 506, 280 Calculator

Given Input numbers are 702, 649, 506, 280

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

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

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 (702, 649, 506, 280) = 1.

Given numbers are 702, 649, 506, 280

The list of prime factors of all numbers are

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 649 are 11 x 59

Prime factors of 506 are 2 x 11 x 23

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 702, 649, 506, 280

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

Apply this formula for all numbers.

Step1:

LCM(702, 649) = 455598

GCD(702, 649) = ( 702 x 649 ) / 455598

= 702 / 649

= 702

Step2:

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

= 1 / 506

= 1

Step3:

LCM(1, 280) = 280

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

= 1 / 280

= 1

So, Greatest Common Divisor of 702, 649, 506, 280 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 301, 414, 502, 568
• GCD of 281, 433, 710, 112
• GCD of 289, 851, 987, 298
• GCD of 904, 111, 550, 956
• GCD of 810, 600, 859, 518

Given numbers are 702, 649, 506, 280
The greatest common divisor of numbers 702, 649, 506, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 649, 506, 280 is 1.

1. What is the GCD of 702, 649, 506, 280?

GCD of given numbers 702, 649, 506, 280 is 1

2. How to calculate the greatest common divisor of 702, 649, 506, 280?

We can find the highest common divisor of 702, 649, 506, 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 702, 649, 506, 280 i.e 1.

3. How can I use the GCD of 702, 649, 506, 280Calculator?

Out the numbers 702, 649, 506, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.