GCD of 490, 952, 74, 376 Calculator

Given Input numbers are 490, 952, 74, 376

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

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

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 74 :

The positive integer divisors of 74 that completely divides 74 are.

1, 2, 37, 74

Divisors of 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

GCD of numbers is the greatest common divisor

So, the GCD (490, 952, 74, 376) = 2.

Given numbers are 490, 952, 74, 376

The list of prime factors of all numbers are

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

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 74 are 2 x 37

Prime factors of 376 are 2 x 2 x 2 x 47

The highest common occurrence is 2¹

Therefore, GCD of 490, 952, 74, 376 is 2.

Given numbers are 490, 952, 74, 376

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

Apply this formula for all numbers.

Step1:

LCM(490, 952) = 33320

GCD(490, 952) = ( 490 x 952 ) / 33320

= 490 / 952

= 490

Step2:

LCM(14, 74) = 518

GCD(14, 74) = ( 14 x 74 ) / 518

= 14 / 74

= 14

Step3:

LCM(2, 376) = 376

GCD(2, 376) = ( 2 x 376 ) / 376

= 2 / 376

= 2

So, Greatest Common Divisor of 490, 952, 74, 376 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 648, 916, 52, 104
• GCD of 387, 505, 63, 563
• GCD of 264, 591, 48, 579
• GCD of 324, 277, 90, 266
• GCD of 293, 923, 79, 560

Given numbers are 490, 952, 74, 376
The greatest common divisor of numbers 490, 952, 74, 376 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 952, 74, 376 is 2.

1. What is the GCD of 490, 952, 74, 376?

GCD of given numbers 490, 952, 74, 376 is 2

2. How to calculate the greatest common divisor of 490, 952, 74, 376?

We can find the highest common divisor of 490, 952, 74, 376 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 490, 952, 74, 376 i.e 2.

3. How can I use the GCD of 490, 952, 74, 376Calculator?

Out the numbers 490, 952, 74, 376 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.