GCD of 677, 742, 532, 120 Calculator

Given Input numbers are 677, 742, 532, 120

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

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

Divisors of 742 :

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

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

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

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

GCD of numbers is the greatest common divisor

So, the GCD (677, 742, 532, 120) = 1.

Given numbers are 677, 742, 532, 120

The list of prime factors of all numbers are

Prime factors of 677 are 677

Prime factors of 742 are 2 x 7 x 53

Prime factors of 532 are 2 x 2 x 7 x 19

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

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

Given numbers are 677, 742, 532, 120

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

Apply this formula for all numbers.

Step1:

LCM(677, 742) = 502334

GCD(677, 742) = ( 677 x 742 ) / 502334

= 677 / 742

= 677

Step2:

LCM(1, 532) = 532

GCD(1, 532) = ( 1 x 532 ) / 532

= 1 / 532

= 1

Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

So, Greatest Common Divisor of 677, 742, 532, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 923, 849, 636, 864
• GCD of 897, 433, 219, 220
• GCD of 398, 741, 930, 497
• GCD of 698, 683, 351, 253
• GCD of 861, 501, 837, 178

Given numbers are 677, 742, 532, 120
The greatest common divisor of numbers 677, 742, 532, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 677, 742, 532, 120 is 1.

1. What is the GCD of 677, 742, 532, 120?

GCD of given numbers 677, 742, 532, 120 is 1

2. How to calculate the greatest common divisor of 677, 742, 532, 120?

We can find the highest common divisor of 677, 742, 532, 120 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 677, 742, 532, 120 i.e 1.

3. How can I use the GCD of 677, 742, 532, 120Calculator?

Out the numbers 677, 742, 532, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.