GCD of 742, 840, 710, 169 Calculator

Given Input numbers are 742, 840, 710, 169

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 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

GCD of numbers is the greatest common divisor

So, the GCD (742, 840, 710, 169) = 1.

Given numbers are 742, 840, 710, 169

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 710 are 2 x 5 x 71

Prime factors of 169 are 13 x 13

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

Given numbers are 742, 840, 710, 169

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

Apply this formula for all numbers.

Step1:

LCM(742, 840) = 44520

GCD(742, 840) = ( 742 x 840 ) / 44520

= 742 / 840

= 742

Step2:

LCM(14, 710) = 4970

GCD(14, 710) = ( 14 x 710 ) / 4970

= 14 / 710

= 14

Step3:

LCM(2, 169) = 338

GCD(2, 169) = ( 2 x 169 ) / 338

= 2 / 169

= 2

So, Greatest Common Divisor of 742, 840, 710, 169 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 128, 132, 850, 753
• GCD of 788, 496, 186, 392
• GCD of 395, 161, 937, 387
• GCD of 995, 410, 593, 293
• GCD of 900, 954, 420, 257

Given numbers are 742, 840, 710, 169
The greatest common divisor of numbers 742, 840, 710, 169 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 840, 710, 169 is 1.

1. What is the GCD of 742, 840, 710, 169?

GCD of given numbers 742, 840, 710, 169 is 1

2. How to calculate the greatest common divisor of 742, 840, 710, 169?

We can find the highest common divisor of 742, 840, 710, 169 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, 840, 710, 169 i.e 1.

3. How can I use the GCD of 742, 840, 710, 169Calculator?

Out the numbers 742, 840, 710, 169 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.