GCD of 980, 140, 512, 540 Calculator

Given Input numbers are 980, 140, 512, 540

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 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

GCD of numbers is the greatest common divisor

So, the GCD (980, 140, 512, 540) = 4.

Given numbers are 980, 140, 512, 540

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 140 are 2 x 2 x 5 x 7

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

The highest common occurrence is 2²

Therefore, GCD of 980, 140, 512, 540 is 4.

Given numbers are 980, 140, 512, 540

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

Apply this formula for all numbers.

Step1:

LCM(980, 140) = 980

GCD(980, 140) = ( 980 x 140 ) / 980

= 980 / 140

= 980

Step2:

LCM(140, 512) = 17920

GCD(140, 512) = ( 140 x 512 ) / 17920

= 140 / 512

= 140

Step3:

LCM(4, 540) = 540

GCD(4, 540) = ( 4 x 540 ) / 540

= 4 / 540

= 4

So, Greatest Common Divisor of 980, 140, 512, 540 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 727, 184, 760, 168
• GCD of 988, 310, 166, 502
• GCD of 148, 809, 818, 861
• GCD of 515, 278, 867, 209
• GCD of 185, 320, 129, 430

Given numbers are 980, 140, 512, 540
The greatest common divisor of numbers 980, 140, 512, 540 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 140, 512, 540 is 4.

1. What is the GCD of 980, 140, 512, 540?

GCD of given numbers 980, 140, 512, 540 is 4

2. How to calculate the greatest common divisor of 980, 140, 512, 540?

We can find the highest common divisor of 980, 140, 512, 540 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, 140, 512, 540 i.e 4.

3. How can I use the GCD of 980, 140, 512, 540Calculator?

Out the numbers 980, 140, 512, 540 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.