GCD of 208, 140, 308, 962 Calculator

Given Input numbers are 208, 140, 308, 962

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 962 :

The positive integer divisors of 962 that completely divides 962 are.

1, 2, 13, 26, 37, 74, 481, 962

GCD of numbers is the greatest common divisor

So, the GCD (208, 140, 308, 962) = 2.

Given numbers are 208, 140, 308, 962

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

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

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 962 are 2 x 13 x 37

The highest common occurrence is 2¹

Therefore, GCD of 208, 140, 308, 962 is 2.

Given numbers are 208, 140, 308, 962

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

Apply this formula for all numbers.

Step1:

LCM(208, 140) = 7280

GCD(208, 140) = ( 208 x 140 ) / 7280

= 208 / 140

= 208

Step2:

LCM(4, 308) = 308

GCD(4, 308) = ( 4 x 308 ) / 308

= 4 / 308

= 4

Step3:

LCM(4, 962) = 1924

GCD(4, 962) = ( 4 x 962 ) / 1924

= 4 / 962

= 4

So, Greatest Common Divisor of 208, 140, 308, 962 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 578, 934, 210, 519
• GCD of 190, 945, 897, 380
• GCD of 517, 695, 352, 650
• GCD of 464, 836, 910, 523
• GCD of 981, 638, 732, 585

Given numbers are 208, 140, 308, 962
The greatest common divisor of numbers 208, 140, 308, 962 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 140, 308, 962 is 2.

1. What is the GCD of 208, 140, 308, 962?

GCD of given numbers 208, 140, 308, 962 is 2

2. How to calculate the greatest common divisor of 208, 140, 308, 962?

We can find the highest common divisor of 208, 140, 308, 962 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 208, 140, 308, 962 i.e 2.

3. How can I use the GCD of 208, 140, 308, 962Calculator?

Out the numbers 208, 140, 308, 962 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.