GCD of 980, 412, 820, 760 Calculator

Given Input numbers are 980, 412, 820, 760

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 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

GCD of numbers is the greatest common divisor

So, the GCD (980, 412, 820, 760) = 4.

Given numbers are 980, 412, 820, 760

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 412 are 2 x 2 x 103

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

The highest common occurrence is 2²

Therefore, GCD of 980, 412, 820, 760 is 4.

Given numbers are 980, 412, 820, 760

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

Apply this formula for all numbers.

Step1:

LCM(980, 412) = 100940

GCD(980, 412) = ( 980 x 412 ) / 100940

= 980 / 412

= 980

Step2:

LCM(4, 820) = 820

GCD(4, 820) = ( 4 x 820 ) / 820

= 4 / 820

= 4

Step3:

LCM(4, 760) = 760

GCD(4, 760) = ( 4 x 760 ) / 760

= 4 / 760

= 4

So, Greatest Common Divisor of 980, 412, 820, 760 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 170, 251, 794, 414
• GCD of 869, 308, 719, 711
• GCD of 439, 437, 337, 621
• GCD of 260, 592, 527, 856
• GCD of 337, 183, 761, 477

Given numbers are 980, 412, 820, 760
The greatest common divisor of numbers 980, 412, 820, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 412, 820, 760 is 4.

1. What is the GCD of 980, 412, 820, 760?

GCD of given numbers 980, 412, 820, 760 is 4

2. How to calculate the greatest common divisor of 980, 412, 820, 760?

We can find the highest common divisor of 980, 412, 820, 760 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, 412, 820, 760 i.e 4.

3. How can I use the GCD of 980, 412, 820, 760Calculator?

Out the numbers 980, 412, 820, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.