GCD of 248, 892, 296, 490 Calculator

Given Input numbers are 248, 892, 296, 490

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

Divisors of 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

GCD of numbers is the greatest common divisor

So, the GCD (248, 892, 296, 490) = 2.

Given numbers are 248, 892, 296, 490

The list of prime factors of all numbers are

Prime factors of 248 are 2 x 2 x 2 x 31

Prime factors of 892 are 2 x 2 x 223

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 490 are 2 x 5 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 248, 892, 296, 490 is 2.

Given numbers are 248, 892, 296, 490

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

Apply this formula for all numbers.

Step1:

LCM(248, 892) = 55304

GCD(248, 892) = ( 248 x 892 ) / 55304

= 248 / 892

= 248

Step2:

LCM(4, 296) = 296

GCD(4, 296) = ( 4 x 296 ) / 296

= 4 / 296

= 4

Step3:

LCM(4, 490) = 980

GCD(4, 490) = ( 4 x 490 ) / 980

= 4 / 490

= 4

So, Greatest Common Divisor of 248, 892, 296, 490 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 545, 235, 558, 928
• GCD of 313, 958, 902, 139
• GCD of 179, 706, 605, 967
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• GCD of 867, 283, 365, 684

Given numbers are 248, 892, 296, 490
The greatest common divisor of numbers 248, 892, 296, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 248, 892, 296, 490 is 2.

1. What is the GCD of 248, 892, 296, 490?

GCD of given numbers 248, 892, 296, 490 is 2

2. How to calculate the greatest common divisor of 248, 892, 296, 490?

We can find the highest common divisor of 248, 892, 296, 490 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 248, 892, 296, 490 i.e 2.

3. How can I use the GCD of 248, 892, 296, 490Calculator?

Out the numbers 248, 892, 296, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.