GCD of 654, 728, 988, 140 Calculator

Given Input numbers are 654, 728, 988, 140

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

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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

GCD of numbers is the greatest common divisor

So, the GCD (654, 728, 988, 140) = 2.

Given numbers are 654, 728, 988, 140

The list of prime factors of all numbers are

Prime factors of 654 are 2 x 3 x 109

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 140 are 2 x 2 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 654, 728, 988, 140 is 2.

Given numbers are 654, 728, 988, 140

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

Apply this formula for all numbers.

Step1:

LCM(654, 728) = 238056

GCD(654, 728) = ( 654 x 728 ) / 238056

= 654 / 728

= 654

Step2:

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

= 2 / 988

= 2

Step3:

LCM(2, 140) = 140

GCD(2, 140) = ( 2 x 140 ) / 140

= 2 / 140

= 2

So, Greatest Common Divisor of 654, 728, 988, 140 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 493, 533, 567, 882
• GCD of 556, 122, 527, 165
• GCD of 833, 955, 148, 229
• GCD of 883, 710, 215, 239
• GCD of 312, 235, 873, 873

Given numbers are 654, 728, 988, 140
The greatest common divisor of numbers 654, 728, 988, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 728, 988, 140 is 2.

1. What is the GCD of 654, 728, 988, 140?

GCD of given numbers 654, 728, 988, 140 is 2

2. How to calculate the greatest common divisor of 654, 728, 988, 140?

We can find the highest common divisor of 654, 728, 988, 140 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 654, 728, 988, 140 i.e 2.

3. How can I use the GCD of 654, 728, 988, 140Calculator?

Out the numbers 654, 728, 988, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.