GCD of 98, 14, 10, 28 Calculator

Given Input numbers are 98, 14, 10, 28

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

Divisors of 98 :

The positive integer divisors of 98 that completely divides 98 are.

1, 2, 7, 14, 49, 98

Divisors of 14 :

The positive integer divisors of 14 that completely divides 14 are.

1, 2, 7, 14

Divisors of 10 :

The positive integer divisors of 10 that completely divides 10 are.

1, 2, 5, 10

Divisors of 28 :

The positive integer divisors of 28 that completely divides 28 are.

1, 2, 4, 7, 14, 28

GCD of numbers is the greatest common divisor

So, the GCD (98, 14, 10, 28) = 2.

Given numbers are 98, 14, 10, 28

The list of prime factors of all numbers are

Prime factors of 98 are 2 x 7 x 7

Prime factors of 14 are 2 x 7

Prime factors of 10 are 2 x 5

Prime factors of 28 are 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 98, 14, 10, 28 is 2.

Given numbers are 98, 14, 10, 28

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

Apply this formula for all numbers.

Step1:

LCM(98, 14) = 98

GCD(98, 14) = ( 98 x 14 ) / 98

= 98 / 14

= 98

Step2:

LCM(14, 10) = 70

GCD(14, 10) = ( 14 x 10 ) / 70

= 14 / 10

= 14

Step3:

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

= 2 / 28

= 2

So, Greatest Common Divisor of 98, 14, 10, 28 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 97, 31, 83, 77
• GCD of 55, 78, 35, 82
• GCD of 51, 76, 12, 80
• GCD of 28, 52, 77, 24
• GCD of 36, 98, 11, 55

Given numbers are 98, 14, 10, 28
The greatest common divisor of numbers 98, 14, 10, 28 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 98, 14, 10, 28 is 2.

1. What is the GCD of 98, 14, 10, 28?

GCD of given numbers 98, 14, 10, 28 is 2

2. How to calculate the greatest common divisor of 98, 14, 10, 28?

We can find the highest common divisor of 98, 14, 10, 28 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 98, 14, 10, 28 i.e 2.

3. How can I use the GCD of 98, 14, 10, 28Calculator?

Out the numbers 98, 14, 10, 28 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.