GCD of 980, 584, 148, 876 Calculator

Given Input numbers are 980, 584, 148, 876

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

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

GCD of numbers is the greatest common divisor

So, the GCD (980, 584, 148, 876) = 4.

Given numbers are 980, 584, 148, 876

The list of prime factors of all numbers are

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 148 are 2 x 2 x 37

Prime factors of 876 are 2 x 2 x 3 x 73

The highest common occurrence is 2²

Therefore, GCD of 980, 584, 148, 876 is 4.

Given numbers are 980, 584, 148, 876

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

Apply this formula for all numbers.

Step1:

LCM(980, 584) = 143080

GCD(980, 584) = ( 980 x 584 ) / 143080

= 980 / 584

= 980

Step2:

LCM(4, 148) = 148

GCD(4, 148) = ( 4 x 148 ) / 148

= 4 / 148

= 4

Step3:

LCM(4, 876) = 876

GCD(4, 876) = ( 4 x 876 ) / 876

= 4 / 876

= 4

So, Greatest Common Divisor of 980, 584, 148, 876 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 468, 587, 960, 305
• GCD of 505, 777, 756, 199
• GCD of 820, 310, 693, 949
• GCD of 656, 886, 338, 663
• GCD of 239, 710, 214, 712

Given numbers are 980, 584, 148, 876
The greatest common divisor of numbers 980, 584, 148, 876 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 584, 148, 876 is 4.

1. What is the GCD of 980, 584, 148, 876?

GCD of given numbers 980, 584, 148, 876 is 4

2. How to calculate the greatest common divisor of 980, 584, 148, 876?

We can find the highest common divisor of 980, 584, 148, 876 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 980, 584, 148, 876 i.e 4.

3. How can I use the GCD of 980, 584, 148, 876Calculator?

Out the numbers 980, 584, 148, 876 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.