GCD of 748, 974, 882, 114 Calculator

Given Input numbers are 748, 974, 882, 114

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

GCD of numbers is the greatest common divisor

So, the GCD (748, 974, 882, 114) = 2.

Given numbers are 748, 974, 882, 114

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 974 are 2 x 487

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 114 are 2 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 748, 974, 882, 114 is 2.

Given numbers are 748, 974, 882, 114

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

Apply this formula for all numbers.

Step1:

LCM(748, 974) = 364276

GCD(748, 974) = ( 748 x 974 ) / 364276

= 748 / 974

= 748

Step2:

LCM(2, 882) = 882

GCD(2, 882) = ( 2 x 882 ) / 882

= 2 / 882

= 2

Step3:

LCM(2, 114) = 114

GCD(2, 114) = ( 2 x 114 ) / 114

= 2 / 114

= 2

So, Greatest Common Divisor of 748, 974, 882, 114 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 971, 278, 687, 842
• GCD of 754, 808, 159, 776
• GCD of 964, 416, 111, 812
• GCD of 103, 611, 529, 961
• GCD of 292, 269, 428, 100

Given numbers are 748, 974, 882, 114
The greatest common divisor of numbers 748, 974, 882, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 974, 882, 114 is 2.

1. What is the GCD of 748, 974, 882, 114?

GCD of given numbers 748, 974, 882, 114 is 2

2. How to calculate the greatest common divisor of 748, 974, 882, 114?

We can find the highest common divisor of 748, 974, 882, 114 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 748, 974, 882, 114 i.e 2.

3. How can I use the GCD of 748, 974, 882, 114Calculator?

Out the numbers 748, 974, 882, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.