GCD of 690, 807, 742, 140 Calculator

Given Input numbers are 690, 807, 742, 140

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 807 :

The positive integer divisors of 807 that completely divides 807 are.

1, 3, 269, 807

Divisors of 742 :

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

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

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

GCD of numbers is the greatest common divisor

So, the GCD (690, 807, 742, 140) = 1.

Given numbers are 690, 807, 742, 140

The list of prime factors of all numbers are

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 807 are 3 x 269

Prime factors of 742 are 2 x 7 x 53

Prime factors of 140 are 2 x 2 x 5 x 7

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

Given numbers are 690, 807, 742, 140

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

Apply this formula for all numbers.

Step1:

LCM(690, 807) = 185610

GCD(690, 807) = ( 690 x 807 ) / 185610

= 690 / 807

= 690

Step2:

LCM(3, 742) = 2226

GCD(3, 742) = ( 3 x 742 ) / 2226

= 3 / 742

= 3

Step3:

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

= 1 / 140

= 1

So, Greatest Common Divisor of 690, 807, 742, 140 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 369, 821, 574, 412
• GCD of 110, 279, 516, 392
• GCD of 659, 826, 470, 766
• GCD of 169, 448, 366, 631
• GCD of 421, 518, 533, 247

Given numbers are 690, 807, 742, 140
The greatest common divisor of numbers 690, 807, 742, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 807, 742, 140 is 1.

1. What is the GCD of 690, 807, 742, 140?

GCD of given numbers 690, 807, 742, 140 is 1

2. How to calculate the greatest common divisor of 690, 807, 742, 140?

We can find the highest common divisor of 690, 807, 742, 140 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 690, 807, 742, 140 i.e 1.

3. How can I use the GCD of 690, 807, 742, 140Calculator?

Out the numbers 690, 807, 742, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.