GCD of 714, 351, 684, 965 Calculator

Given Input numbers are 714, 351, 684, 965

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 351 :

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

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

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965

GCD of numbers is the greatest common divisor

So, the GCD (714, 351, 684, 965) = 1.

Given numbers are 714, 351, 684, 965

The list of prime factors of all numbers are

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

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

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 965 are 5 x 193

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

Given numbers are 714, 351, 684, 965

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

Apply this formula for all numbers.

Step1:

LCM(714, 351) = 83538

GCD(714, 351) = ( 714 x 351 ) / 83538

= 714 / 351

= 714

Step2:

LCM(3, 684) = 684

GCD(3, 684) = ( 3 x 684 ) / 684

= 3 / 684

= 3

Step3:

LCM(3, 965) = 2895

GCD(3, 965) = ( 3 x 965 ) / 2895

= 3 / 965

= 3

So, Greatest Common Divisor of 714, 351, 684, 965 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 942, 591, 456, 296
• GCD of 899, 736, 371, 476
• GCD of 340, 268, 267, 379
• GCD of 932, 682, 763, 282
• GCD of 818, 803, 110, 221

Given numbers are 714, 351, 684, 965
The greatest common divisor of numbers 714, 351, 684, 965 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 351, 684, 965 is 1.

1. What is the GCD of 714, 351, 684, 965?

GCD of given numbers 714, 351, 684, 965 is 1

2. How to calculate the greatest common divisor of 714, 351, 684, 965?

We can find the highest common divisor of 714, 351, 684, 965 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, 351, 684, 965 i.e 1.

3. How can I use the GCD of 714, 351, 684, 965Calculator?

Out the numbers 714, 351, 684, 965 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.