HCF and LCM of 60 and 1800
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Answers
GCF = 60
for the values 60, 1800
Solution by Factorization:
The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The factors of 1800 are: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 150, 180, 200, 225, 300, 360, 450, 600, 900, 1800
Then the greatest common factor is 60.
You can also find the GCF using
Prime Factorization or Euclid's Algorithm.
The LCM of numbers is the smallest number that is divisible by all given numbers.
Find some multiples of each number.
Multiples of 60:
60,120,180,240,300,360,420,480,540,600,660,720,780,840,900,960,1020,1080,1140,1200,1260,1320,1380,1440,1500,1560,1620,1680,1740,1800,1860,1920,1980
Multiples of 1800:
1800,3600,5400,7200,9000
The smallest common (all numbers share it) multiple is highlighted.
Thus, LCM(60,1800)=1800
LCM = 1800
Answer:
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