GCD of 292, 138, 748, 253 Calculator

Given Input numbers are 292, 138, 748, 253

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

Divisors of 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

GCD of numbers is the greatest common divisor

So, the GCD (292, 138, 748, 253) = 1.

Given numbers are 292, 138, 748, 253

The list of prime factors of all numbers are

Prime factors of 292 are 2 x 2 x 73

Prime factors of 138 are 2 x 3 x 23

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 253 are 11 x 23

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

Given numbers are 292, 138, 748, 253

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

Apply this formula for all numbers.

Step1:

LCM(292, 138) = 20148

GCD(292, 138) = ( 292 x 138 ) / 20148

= 292 / 138

= 292

Step2:

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

= 2 / 748

= 2

Step3:

LCM(2, 253) = 506

GCD(2, 253) = ( 2 x 253 ) / 506

= 2 / 253

= 2

So, Greatest Common Divisor of 292, 138, 748, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 827, 761, 405, 228
• GCD of 197, 908, 309, 106
• GCD of 617, 972, 591, 398
• GCD of 760, 754, 491, 310
• GCD of 353, 633, 344, 670

Given numbers are 292, 138, 748, 253
The greatest common divisor of numbers 292, 138, 748, 253 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 292, 138, 748, 253 is 1.

1. What is the GCD of 292, 138, 748, 253?

GCD of given numbers 292, 138, 748, 253 is 1

2. How to calculate the greatest common divisor of 292, 138, 748, 253?

We can find the highest common divisor of 292, 138, 748, 253 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 292, 138, 748, 253 i.e 1.

3. How can I use the GCD of 292, 138, 748, 253Calculator?

Out the numbers 292, 138, 748, 253 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.