GCD of 274, 363, 938, 142 Calculator

Given Input numbers are 274, 363, 938, 142

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

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

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 (274, 363, 938, 142) = 1.

Given numbers are 274, 363, 938, 142

The list of prime factors of all numbers are

Prime factors of 274 are 2 x 137

Prime factors of 363 are 3 x 11 x 11

Prime factors of 938 are 2 x 7 x 67

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 274, 363, 938, 142

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

Apply this formula for all numbers.

Step1:

LCM(274, 363) = 99462

GCD(274, 363) = ( 274 x 363 ) / 99462

= 274 / 363

= 274

Step2:

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

= 1 / 938

= 1

Step3:

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

= 1 / 142

= 1

So, Greatest Common Divisor of 274, 363, 938, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 461, 375, 418, 293
• GCD of 690, 116, 997, 303
• GCD of 577, 493, 310, 826
• GCD of 895, 229, 914, 207
• GCD of 980, 245, 314, 575

Given numbers are 274, 363, 938, 142
The greatest common divisor of numbers 274, 363, 938, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 363, 938, 142 is 1.

1. What is the GCD of 274, 363, 938, 142?

GCD of given numbers 274, 363, 938, 142 is 1

2. How to calculate the greatest common divisor of 274, 363, 938, 142?

We can find the highest common divisor of 274, 363, 938, 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 274, 363, 938, 142 i.e 1.

3. How can I use the GCD of 274, 363, 938, 142Calculator?

Out the numbers 274, 363, 938, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.