GCD of 742, 718, 680, 170 Calculator

Given Input numbers are 742, 718, 680, 170

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 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

GCD of numbers is the greatest common divisor

So, the GCD (742, 718, 680, 170) = 2.

Given numbers are 742, 718, 680, 170

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 718 are 2 x 359

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 170 are 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 742, 718, 680, 170 is 2.

Given numbers are 742, 718, 680, 170

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

Apply this formula for all numbers.

Step1:

LCM(742, 718) = 266378

GCD(742, 718) = ( 742 x 718 ) / 266378

= 742 / 718

= 742

Step2:

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

= 2 / 680

= 2

Step3:

LCM(2, 170) = 170

GCD(2, 170) = ( 2 x 170 ) / 170

= 2 / 170

= 2

So, Greatest Common Divisor of 742, 718, 680, 170 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 222, 989, 247, 221
• GCD of 456, 703, 153, 881
• GCD of 860, 435, 198, 973
• GCD of 717, 491, 381, 622
• GCD of 639, 303, 718, 689

Given numbers are 742, 718, 680, 170
The greatest common divisor of numbers 742, 718, 680, 170 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 718, 680, 170 is 2.

1. What is the GCD of 742, 718, 680, 170?

GCD of given numbers 742, 718, 680, 170 is 2

2. How to calculate the greatest common divisor of 742, 718, 680, 170?

We can find the highest common divisor of 742, 718, 680, 170 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, 718, 680, 170 i.e 2.

3. How can I use the GCD of 742, 718, 680, 170Calculator?

Out the numbers 742, 718, 680, 170 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.