Find the HCF of the following number,using division method of 24,36,40
Share
Find the HCF of the following number,using division method of 24,36,40
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
"" ❤️ Answer ❤️ ""
Prime factorization of 24, 36 and 40 is given as,
24 = 2 × 2 × 2 × 3
36 = 2 × 2 × 3 × 3
40 = 2 × 2 × 2 × 5
LCM(24, 36) = 72, LCM(36, 40) = 360, LCM(40, 24) = 120, LCM(24, 36, 40) = 360
⇒ HCF(24, 36, 40) = [(24 × 36 × 40) × LCM(24, 36, 40)]/[LCM(24, 36) × LCM (36, 40) × LCM(40, 24)]
⇒ HCF(24, 36, 40) = (34560 × 360)/(72 × 360 × 120)
⇒ HCF(24, 36, 40) = 4.
Therefore, the HCF of 24, 36 and 40 is 4.
☺️ Always keep smiling ☺️
Answer:
The above picture have your asnwer