GCD of 854, 542, 145, 688 Calculator

Given Input numbers are 854, 542, 145, 688

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

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

GCD of numbers is the greatest common divisor

So, the GCD (854, 542, 145, 688) = 1.

Given numbers are 854, 542, 145, 688

The list of prime factors of all numbers are

Prime factors of 854 are 2 x 7 x 61

Prime factors of 542 are 2 x 271

Prime factors of 145 are 5 x 29

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

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

Given numbers are 854, 542, 145, 688

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

Apply this formula for all numbers.

Step1:

LCM(854, 542) = 231434

GCD(854, 542) = ( 854 x 542 ) / 231434

= 854 / 542

= 854

Step2:

LCM(2, 145) = 290

GCD(2, 145) = ( 2 x 145 ) / 290

= 2 / 145

= 2

Step3:

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

= 1 / 688

= 1

So, Greatest Common Divisor of 854, 542, 145, 688 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 546, 644, 600, 190
• GCD of 526, 589, 963, 311
• GCD of 628, 857, 916, 643
• GCD of 672, 862, 550, 795
• GCD of 709, 751, 977, 449

Given numbers are 854, 542, 145, 688
The greatest common divisor of numbers 854, 542, 145, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 854, 542, 145, 688 is 1.

1. What is the GCD of 854, 542, 145, 688?

GCD of given numbers 854, 542, 145, 688 is 1

2. How to calculate the greatest common divisor of 854, 542, 145, 688?

We can find the highest common divisor of 854, 542, 145, 688 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 854, 542, 145, 688 i.e 1.

3. How can I use the GCD of 854, 542, 145, 688Calculator?

Out the numbers 854, 542, 145, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.