GCD of 280, 100, 980 Calculator

Given Input numbers are 280, 100, 980

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

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

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

GCD of numbers is the greatest common divisor

So, the GCD (280, 100, 980) = 20.

Given numbers are 280, 100, 980

The list of prime factors of all numbers are

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 100 are 2 x 2 x 5 x 5

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

The highest common occurrence is 2² x 5¹

Therefore, GCD of 280, 100, 980 is 20.

Given numbers are 280, 100, 980

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

Apply this formula for all numbers.

Step1:

LCM(280, 100) = 1400

GCD(280, 100) = ( 280 x 100 ) / 1400

= 280 / 100

= 280

Step2:

LCM(20, 980) = 980

GCD(20, 980) = ( 20 x 980 ) / 980

= 20 / 980

= 20

So, Greatest Common Divisor of 280, 100, 980 is 20

Here are some samples of GCD of Numbers calculations.

• GCD of 797, 462, 372
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• GCD of 482, 798, 709
• GCD of 854, 287, 972
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Given numbers are 280, 100, 980
The greatest common divisor of numbers 280, 100, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 100, 980 is 20.

1. What is the GCD of 280, 100, 980?

GCD of given numbers 280, 100, 980 is 20

2. How to calculate the greatest common divisor of 280, 100, 980?

We can find the highest common divisor of 280, 100, 980 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 280, 100, 980 i.e 20.

3. How can I use the GCD of 280, 100, 980Calculator?

Out the numbers 280, 100, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.