GCD of 376, 972, 252, 490 Calculator

Given Input numbers are 376, 972, 252, 490

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

Divisors of 376 :

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

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

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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 (376, 972, 252, 490) = 2.

Given numbers are 376, 972, 252, 490

The list of prime factors of all numbers are

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

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 376, 972, 252, 490 is 2.

Given numbers are 376, 972, 252, 490

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

Apply this formula for all numbers.

Step1:

LCM(376, 972) = 91368

GCD(376, 972) = ( 376 x 972 ) / 91368

= 376 / 972

= 376

Step2:

LCM(4, 252) = 252

GCD(4, 252) = ( 4 x 252 ) / 252

= 4 / 252

= 4

Step3:

LCM(4, 490) = 980

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

= 4 / 490

= 4

So, Greatest Common Divisor of 376, 972, 252, 490 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 676, 602, 901, 987
• GCD of 601, 922, 965, 944
• GCD of 328, 304, 681, 333
• GCD of 961, 269, 799, 351
• GCD of 498, 780, 945, 560

Given numbers are 376, 972, 252, 490
The greatest common divisor of numbers 376, 972, 252, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 376, 972, 252, 490 is 2.

1. What is the GCD of 376, 972, 252, 490?

GCD of given numbers 376, 972, 252, 490 is 2

2. How to calculate the greatest common divisor of 376, 972, 252, 490?

We can find the highest common divisor of 376, 972, 252, 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 376, 972, 252, 490 i.e 2.

3. How can I use the GCD of 376, 972, 252, 490Calculator?

Out the numbers 376, 972, 252, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.