GCD of 542, 132, 177, 700 Calculator

Given Input numbers are 542, 132, 177, 700

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

Divisors of 542 :

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

1, 2, 271, 542

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 177 :

The positive integer divisors of 177 that completely divides 177 are.

1, 3, 59, 177

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

GCD of numbers is the greatest common divisor

So, the GCD (542, 132, 177, 700) = 1.

Given numbers are 542, 132, 177, 700

The list of prime factors of all numbers are

Prime factors of 542 are 2 x 271

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 177 are 3 x 59

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

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

Given numbers are 542, 132, 177, 700

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

Apply this formula for all numbers.

Step1:

LCM(542, 132) = 35772

GCD(542, 132) = ( 542 x 132 ) / 35772

= 542 / 132

= 542

Step2:

LCM(2, 177) = 354

GCD(2, 177) = ( 2 x 177 ) / 354

= 2 / 177

= 2

Step3:

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

= 1 / 700

= 1

So, Greatest Common Divisor of 542, 132, 177, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 696, 975, 546, 554
• GCD of 675, 249, 464, 920
• GCD of 229, 892, 464, 703
• GCD of 199, 528, 524, 383
• GCD of 683, 801, 438, 180

Given numbers are 542, 132, 177, 700
The greatest common divisor of numbers 542, 132, 177, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 132, 177, 700 is 1.

1. What is the GCD of 542, 132, 177, 700?

GCD of given numbers 542, 132, 177, 700 is 1

2. How to calculate the greatest common divisor of 542, 132, 177, 700?

We can find the highest common divisor of 542, 132, 177, 700 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 542, 132, 177, 700 i.e 1.

3. How can I use the GCD of 542, 132, 177, 700Calculator?

Out the numbers 542, 132, 177, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.