GCD of 154, 147, 364, 142 Calculator

Given Input numbers are 154, 147, 364, 142

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

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (154, 147, 364, 142) = 1.

Given numbers are 154, 147, 364, 142

The list of prime factors of all numbers are

Prime factors of 154 are 2 x 7 x 11

Prime factors of 147 are 3 x 7 x 7

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 142 are 2 x 71

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

Given numbers are 154, 147, 364, 142

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

Apply this formula for all numbers.

Step1:

LCM(154, 147) = 3234

GCD(154, 147) = ( 154 x 147 ) / 3234

= 154 / 147

= 154

Step2:

LCM(7, 364) = 364

GCD(7, 364) = ( 7 x 364 ) / 364

= 7 / 364

= 7

Step3:

LCM(7, 142) = 994

GCD(7, 142) = ( 7 x 142 ) / 994

= 7 / 142

= 7

So, Greatest Common Divisor of 154, 147, 364, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 712, 804, 936, 280
• GCD of 881, 584, 927, 944
• GCD of 330, 871, 570, 426
• GCD of 565, 662, 883, 922
• GCD of 734, 561, 318, 149

Given numbers are 154, 147, 364, 142
The greatest common divisor of numbers 154, 147, 364, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 154, 147, 364, 142 is 1.

1. What is the GCD of 154, 147, 364, 142?

GCD of given numbers 154, 147, 364, 142 is 1

2. How to calculate the greatest common divisor of 154, 147, 364, 142?

We can find the highest common divisor of 154, 147, 364, 142 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 154, 147, 364, 142 i.e 1.

3. How can I use the GCD of 154, 147, 364, 142Calculator?

Out the numbers 154, 147, 364, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.