GCD of 658, 980, 902, 212 Calculator

Given Input numbers are 658, 980, 902, 212

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

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

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 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

GCD of numbers is the greatest common divisor

So, the GCD (658, 980, 902, 212) = 2.

Given numbers are 658, 980, 902, 212

The list of prime factors of all numbers are

Prime factors of 658 are 2 x 7 x 47

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

Prime factors of 902 are 2 x 11 x 41

Prime factors of 212 are 2 x 2 x 53

The highest common occurrence is 2¹

Therefore, GCD of 658, 980, 902, 212 is 2.

Given numbers are 658, 980, 902, 212

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

Apply this formula for all numbers.

Step1:

LCM(658, 980) = 46060

GCD(658, 980) = ( 658 x 980 ) / 46060

= 658 / 980

= 658

Step2:

LCM(14, 902) = 6314

GCD(14, 902) = ( 14 x 902 ) / 6314

= 14 / 902

= 14

Step3:

LCM(2, 212) = 212

GCD(2, 212) = ( 2 x 212 ) / 212

= 2 / 212

= 2

So, Greatest Common Divisor of 658, 980, 902, 212 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 329, 734, 283, 315
• GCD of 864, 769, 505, 701
• GCD of 317, 660, 864, 258
• GCD of 351, 204, 994, 637
• GCD of 482, 254, 482, 619

Given numbers are 658, 980, 902, 212
The greatest common divisor of numbers 658, 980, 902, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 658, 980, 902, 212 is 2.

1. What is the GCD of 658, 980, 902, 212?

GCD of given numbers 658, 980, 902, 212 is 2

2. How to calculate the greatest common divisor of 658, 980, 902, 212?

We can find the highest common divisor of 658, 980, 902, 212 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 658, 980, 902, 212 i.e 2.

3. How can I use the GCD of 658, 980, 902, 212Calculator?

Out the numbers 658, 980, 902, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.