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Answer:
1. Divide the larger number by the smaller number and find the remainder.
2. Replace the larger number with the smaller number and the smaller number with the remainder.
3. Repeat the process until the remainder is 0.
4. The divisor at this step will be the HCF.
[tex]{1. ( 1584 \div 1080 = 1 ) remainder ( 504 )}[/tex]
[tex]• ( 1584 = 1080 \times 1 + 504 )[/tex]
[tex]{2. \: ( 1080 \div 504 = 2 ) remainder ( 72 )}[/tex]
[tex]• ( 1080 = 504 \times 2 + 72 )[/tex]
[tex]3. \: ( 504 \div 72 = 7 ) remainder ( 0 )[/tex]
[tex]• ( 504 = 72 \times 7 + 0 )[/tex]