GCD of 742, 620, 714, 351 Calculator

Given Input numbers are 742, 620, 714, 351

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 620 :

The positive integer divisors of 620 that completely divides 620 are.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

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 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

GCD of numbers is the greatest common divisor

So, the GCD (742, 620, 714, 351) = 1.

Given numbers are 742, 620, 714, 351

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 620 are 2 x 2 x 5 x 31

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

Prime factors of 351 are 3 x 3 x 3 x 13

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

Given numbers are 742, 620, 714, 351

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

Apply this formula for all numbers.

Step1:

LCM(742, 620) = 230020

GCD(742, 620) = ( 742 x 620 ) / 230020

= 742 / 620

= 742

Step2:

LCM(2, 714) = 714

GCD(2, 714) = ( 2 x 714 ) / 714

= 2 / 714

= 2

Step3:

LCM(2, 351) = 702

GCD(2, 351) = ( 2 x 351 ) / 702

= 2 / 351

= 2

So, Greatest Common Divisor of 742, 620, 714, 351 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 932, 549, 121, 266
• GCD of 476, 498, 146, 445
• GCD of 435, 120, 580, 105
• GCD of 714, 333, 283, 909
• GCD of 282, 904, 226, 818

Given numbers are 742, 620, 714, 351
The greatest common divisor of numbers 742, 620, 714, 351 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 620, 714, 351 is 1.

1. What is the GCD of 742, 620, 714, 351?

GCD of given numbers 742, 620, 714, 351 is 1

2. How to calculate the greatest common divisor of 742, 620, 714, 351?

We can find the highest common divisor of 742, 620, 714, 351 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 742, 620, 714, 351 i.e 1.

3. How can I use the GCD of 742, 620, 714, 351Calculator?

Out the numbers 742, 620, 714, 351 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.