GCD of 329, 987, 875, 490 Calculator

Given Input numbers are 329, 987, 875, 490

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

Divisors of 329 :

The positive integer divisors of 329 that completely divides 329 are.

1, 7, 47, 329

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 875 :

The positive integer divisors of 875 that completely divides 875 are.

1, 5, 7, 25, 35, 125, 175, 875

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 (329, 987, 875, 490) = 7.

Given numbers are 329, 987, 875, 490

The list of prime factors of all numbers are

Prime factors of 329 are 7 x 47

Prime factors of 987 are 3 x 7 x 47

Prime factors of 875 are 5 x 5 x 5 x 7

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

The highest common occurrence is 7¹

Therefore, GCD of 329, 987, 875, 490 is 7.

Given numbers are 329, 987, 875, 490

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

Apply this formula for all numbers.

Step1:

LCM(329, 987) = 987

GCD(329, 987) = ( 329 x 987 ) / 987

= 329 / 987

= 329

Step2:

LCM(329, 875) = 41125

GCD(329, 875) = ( 329 x 875 ) / 41125

= 329 / 875

= 329

Step3:

LCM(7, 490) = 490

GCD(7, 490) = ( 7 x 490 ) / 490

= 7 / 490

= 7

So, Greatest Common Divisor of 329, 987, 875, 490 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 786, 133, 711, 137
• GCD of 480, 133, 139, 906
• GCD of 233, 490, 439, 945
• GCD of 919, 529, 649, 946
• GCD of 964, 911, 705, 471

Given numbers are 329, 987, 875, 490
The greatest common divisor of numbers 329, 987, 875, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 329, 987, 875, 490 is 7.

1. What is the GCD of 329, 987, 875, 490?

GCD of given numbers 329, 987, 875, 490 is 7

2. How to calculate the greatest common divisor of 329, 987, 875, 490?

We can find the highest common divisor of 329, 987, 875, 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 329, 987, 875, 490 i.e 7.

3. How can I use the GCD of 329, 987, 875, 490Calculator?

Out the numbers 329, 987, 875, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.