GCD of 980, 747, 142, 825 Calculator

Given Input numbers are 980, 747, 142, 825

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

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 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (980, 747, 142, 825) = 1.

Given numbers are 980, 747, 142, 825

The list of prime factors of all numbers are

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

Prime factors of 747 are 3 x 3 x 83

Prime factors of 142 are 2 x 71

Prime factors of 825 are 3 x 5 x 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 980, 747, 142, 825

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

Apply this formula for all numbers.

Step1:

LCM(980, 747) = 732060

GCD(980, 747) = ( 980 x 747 ) / 732060

= 980 / 747

= 980

Step2:

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

= 1 / 142

= 1

Step3:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

So, Greatest Common Divisor of 980, 747, 142, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 544, 208, 141, 174
• GCD of 149, 475, 240, 896
• GCD of 946, 714, 524, 351
• GCD of 156, 119, 277, 295
• GCD of 886, 836, 178, 271

Given numbers are 980, 747, 142, 825
The greatest common divisor of numbers 980, 747, 142, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 747, 142, 825 is 1.

1. What is the GCD of 980, 747, 142, 825?

GCD of given numbers 980, 747, 142, 825 is 1

2. How to calculate the greatest common divisor of 980, 747, 142, 825?

We can find the highest common divisor of 980, 747, 142, 825 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 980, 747, 142, 825 i.e 1.

3. How can I use the GCD of 980, 747, 142, 825Calculator?

Out the numbers 980, 747, 142, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.