GCD of 742, 120, 840, 737 Calculator

Given Input numbers are 742, 120, 840, 737

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 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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 737 :

The positive integer divisors of 737 that completely divides 737 are.

1, 11, 67, 737

GCD of numbers is the greatest common divisor

So, the GCD (742, 120, 840, 737) = 1.

Given numbers are 742, 120, 840, 737

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

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

Prime factors of 737 are 11 x 67

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

Given numbers are 742, 120, 840, 737

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

Apply this formula for all numbers.

Step1:

LCM(742, 120) = 44520

GCD(742, 120) = ( 742 x 120 ) / 44520

= 742 / 120

= 742

Step2:

LCM(2, 840) = 840

GCD(2, 840) = ( 2 x 840 ) / 840

= 2 / 840

= 2

Step3:

LCM(2, 737) = 1474

GCD(2, 737) = ( 2 x 737 ) / 1474

= 2 / 737

= 2

So, Greatest Common Divisor of 742, 120, 840, 737 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 115, 322, 396, 594
• GCD of 469, 348, 211, 533
• GCD of 458, 626, 310, 316
• GCD of 249, 543, 837, 616
• GCD of 901, 583, 976, 941

Given numbers are 742, 120, 840, 737
The greatest common divisor of numbers 742, 120, 840, 737 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 120, 840, 737 is 1.

1. What is the GCD of 742, 120, 840, 737?

GCD of given numbers 742, 120, 840, 737 is 1

2. How to calculate the greatest common divisor of 742, 120, 840, 737?

We can find the highest common divisor of 742, 120, 840, 737 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, 120, 840, 737 i.e 1.

3. How can I use the GCD of 742, 120, 840, 737Calculator?

Out the numbers 742, 120, 840, 737 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.