For each of the following pairs, write a and b in standard form and use these factorizations to find (a, b) and [a, b]. a=52920, b = 25200

UkusakazaL

UkusakazaL

Answered question

2021-05-14

For each of the following pairs, write a and b in standard form and use these factorizations to find (a, b) and [a, b].
a=52920, b = 25200

Answer & Explanation

Aniqa O'Neill

Aniqa O'Neill

Skilled2021-05-15Added 100 answers

Step 1 Given
a=52920, b=25200
Here use Euclidean Algorithm and find greatest common divisor
Euclidean Algorithm :
If a and b are two integer, not both zero, then there exists a unique positive integer d such that the following two conditions satisfy
1) d|a and d|b
2) If c|a and c|b then c|d.
We write d=(a,b) or d=gcd(a,b).
Step 2 Find greatest common divisor
52900=2*25200 + 2520
25200 = 10* 2520 + 0
So we get
(52920,25200)=2520

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