GCD of 112, 498, 948, 749 Calculator

Given Input numbers are 112, 498, 948, 749

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

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (112, 498, 948, 749) = 1.

Given numbers are 112, 498, 948, 749

The list of prime factors of all numbers are

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 498 are 2 x 3 x 83

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 749 are 7 x 107

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

Given numbers are 112, 498, 948, 749

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

Apply this formula for all numbers.

Step1:

LCM(112, 498) = 27888

GCD(112, 498) = ( 112 x 498 ) / 27888

= 112 / 498

= 112

Step2:

LCM(2, 948) = 948

GCD(2, 948) = ( 2 x 948 ) / 948

= 2 / 948

= 2

Step3:

LCM(2, 749) = 1498

GCD(2, 749) = ( 2 x 749 ) / 1498

= 2 / 749

= 2

So, Greatest Common Divisor of 112, 498, 948, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 437, 965, 143, 258
• GCD of 196, 450, 525, 124
• GCD of 402, 288, 406, 888
• GCD of 546, 823, 692, 200
• GCD of 761, 650, 907, 336

Given numbers are 112, 498, 948, 749
The greatest common divisor of numbers 112, 498, 948, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 498, 948, 749 is 1.

1. What is the GCD of 112, 498, 948, 749?

GCD of given numbers 112, 498, 948, 749 is 1

2. How to calculate the greatest common divisor of 112, 498, 948, 749?

We can find the highest common divisor of 112, 498, 948, 749 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 112, 498, 948, 749 i.e 1.

3. How can I use the GCD of 112, 498, 948, 749Calculator?

Out the numbers 112, 498, 948, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.