GCD of 714, 343, 340, 378 Calculator

Given Input numbers are 714, 343, 340, 378

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

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 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (714, 343, 340, 378) = 1.

Given numbers are 714, 343, 340, 378

The list of prime factors of all numbers are

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

Prime factors of 343 are 7 x 7 x 7

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

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

Given numbers are 714, 343, 340, 378

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

Apply this formula for all numbers.

Step1:

LCM(714, 343) = 34986

GCD(714, 343) = ( 714 x 343 ) / 34986

= 714 / 343

= 714

Step2:

LCM(7, 340) = 2380

GCD(7, 340) = ( 7 x 340 ) / 2380

= 7 / 340

= 7

Step3:

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

= 1 / 378

= 1

So, Greatest Common Divisor of 714, 343, 340, 378 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 270, 347, 801, 794
• GCD of 100, 921, 793, 868
• GCD of 438, 711, 436, 138
• GCD of 947, 981, 162, 355
• GCD of 992, 756, 559, 859

Given numbers are 714, 343, 340, 378
The greatest common divisor of numbers 714, 343, 340, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 343, 340, 378 is 1.

1. What is the GCD of 714, 343, 340, 378?

GCD of given numbers 714, 343, 340, 378 is 1

2. How to calculate the greatest common divisor of 714, 343, 340, 378?

We can find the highest common divisor of 714, 343, 340, 378 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 714, 343, 340, 378 i.e 1.

3. How can I use the GCD of 714, 343, 340, 378Calculator?

Out the numbers 714, 343, 340, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.