GCD of 616, 968, 654, 878 Calculator

Given Input numbers are 616, 968, 654, 878

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

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 654 :

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

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

Divisors of 878 :

The positive integer divisors of 878 that completely divides 878 are.

1, 2, 439, 878

GCD of numbers is the greatest common divisor

So, the GCD (616, 968, 654, 878) = 2.

Given numbers are 616, 968, 654, 878

The list of prime factors of all numbers are

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 654 are 2 x 3 x 109

Prime factors of 878 are 2 x 439

The highest common occurrence is 2¹

Therefore, GCD of 616, 968, 654, 878 is 2.

Given numbers are 616, 968, 654, 878

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

Apply this formula for all numbers.

Step1:

LCM(616, 968) = 6776

GCD(616, 968) = ( 616 x 968 ) / 6776

= 616 / 968

= 616

Step2:

LCM(88, 654) = 28776

GCD(88, 654) = ( 88 x 654 ) / 28776

= 88 / 654

= 88

Step3:

LCM(2, 878) = 878

GCD(2, 878) = ( 2 x 878 ) / 878

= 2 / 878

= 2

So, Greatest Common Divisor of 616, 968, 654, 878 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 801, 977, 241
• GCD of 138, 162, 326, 230
• GCD of 589, 122, 549, 572
• GCD of 329, 891, 804, 136
• GCD of 140, 950, 625, 305

Given numbers are 616, 968, 654, 878
The greatest common divisor of numbers 616, 968, 654, 878 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 616, 968, 654, 878 is 2.

1. What is the GCD of 616, 968, 654, 878?

GCD of given numbers 616, 968, 654, 878 is 2

2. How to calculate the greatest common divisor of 616, 968, 654, 878?

We can find the highest common divisor of 616, 968, 654, 878 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 616, 968, 654, 878 i.e 2.

3. How can I use the GCD of 616, 968, 654, 878Calculator?

Out the numbers 616, 968, 654, 878 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.