GCD of 814, 429, 920, 702 Calculator

Given Input numbers are 814, 429, 920, 702

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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

GCD of numbers is the greatest common divisor

So, the GCD (814, 429, 920, 702) = 1.

Given numbers are 814, 429, 920, 702

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 429 are 3 x 11 x 13

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

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

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

Given numbers are 814, 429, 920, 702

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

Apply this formula for all numbers.

Step1:

LCM(814, 429) = 31746

GCD(814, 429) = ( 814 x 429 ) / 31746

= 814 / 429

= 814

Step2:

LCM(11, 920) = 10120

GCD(11, 920) = ( 11 x 920 ) / 10120

= 11 / 920

= 11

Step3:

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

= 1 / 702

= 1

So, Greatest Common Divisor of 814, 429, 920, 702 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 859, 880, 999, 797
• GCD of 218, 554, 321, 801
• GCD of 576, 547, 563, 969
• GCD of 967, 953, 724, 340
• GCD of 363, 470, 538, 933

Given numbers are 814, 429, 920, 702
The greatest common divisor of numbers 814, 429, 920, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 429, 920, 702 is 1.

1. What is the GCD of 814, 429, 920, 702?

GCD of given numbers 814, 429, 920, 702 is 1

2. How to calculate the greatest common divisor of 814, 429, 920, 702?

We can find the highest common divisor of 814, 429, 920, 702 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 814, 429, 920, 702 i.e 1.

3. How can I use the GCD of 814, 429, 920, 702Calculator?

Out the numbers 814, 429, 920, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.