GCD of 767, 714, 693, 112 Calculator

Given Input numbers are 767, 714, 693, 112

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

Divisors of 767 :

The positive integer divisors of 767 that completely divides 767 are.

1, 13, 59, 767

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 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

GCD of numbers is the greatest common divisor

So, the GCD (767, 714, 693, 112) = 1.

Given numbers are 767, 714, 693, 112

The list of prime factors of all numbers are

Prime factors of 767 are 13 x 59

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

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

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

Given numbers are 767, 714, 693, 112

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

Apply this formula for all numbers.

Step1:

LCM(767, 714) = 547638

GCD(767, 714) = ( 767 x 714 ) / 547638

= 767 / 714

= 767

Step2:

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

= 1 / 693

= 1

Step3:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1

So, Greatest Common Divisor of 767, 714, 693, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 700, 630, 175, 372
• GCD of 630, 965, 958, 118
• GCD of 523, 767, 441, 481
• GCD of 634, 775, 634, 548
• GCD of 680, 530, 826, 585

Given numbers are 767, 714, 693, 112
The greatest common divisor of numbers 767, 714, 693, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 767, 714, 693, 112 is 1.

1. What is the GCD of 767, 714, 693, 112?

GCD of given numbers 767, 714, 693, 112 is 1

2. How to calculate the greatest common divisor of 767, 714, 693, 112?

We can find the highest common divisor of 767, 714, 693, 112 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 767, 714, 693, 112 i.e 1.

3. How can I use the GCD of 767, 714, 693, 112Calculator?

Out the numbers 767, 714, 693, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.