GCD of 970, 252, 448, 676 Calculator

Given Input numbers are 970, 252, 448, 676

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

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (970, 252, 448, 676) = 2.

Given numbers are 970, 252, 448, 676

The list of prime factors of all numbers are

Prime factors of 970 are 2 x 5 x 97

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 676 are 2 x 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 970, 252, 448, 676 is 2.

Given numbers are 970, 252, 448, 676

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

Apply this formula for all numbers.

Step1:

LCM(970, 252) = 122220

GCD(970, 252) = ( 970 x 252 ) / 122220

= 970 / 252

= 970

Step2:

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

= 2 / 448

= 2

Step3:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

So, Greatest Common Divisor of 970, 252, 448, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 626, 622, 202, 978
• GCD of 789, 614, 251, 543
• GCD of 749, 447, 314, 150
• GCD of 107, 184, 336, 515
• GCD of 705, 550, 156, 189

Given numbers are 970, 252, 448, 676
The greatest common divisor of numbers 970, 252, 448, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 970, 252, 448, 676 is 2.

1. What is the GCD of 970, 252, 448, 676?

GCD of given numbers 970, 252, 448, 676 is 2

2. How to calculate the greatest common divisor of 970, 252, 448, 676?

We can find the highest common divisor of 970, 252, 448, 676 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 970, 252, 448, 676 i.e 2.

3. How can I use the GCD of 970, 252, 448, 676Calculator?

Out the numbers 970, 252, 448, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.