find the HCF of 322 and392 in division method and simplest form
Answers
Answer: Division method
256 _| 392 |_ 1
256
____
136 _| 256 |_ 1
136
_____
120 _| 136 |_1
120
____
16 _| 120 |_7
112
____
8 _| 16 |_ 2
16
____
0
HCF = 8
392 = 2 * 2 * 2 * 7 * 7
256 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2
HCF = 2 * 2 * 2 = 8
HCF of 392 and 256 = 8
Step-by-step explanation:
Simplest form
Find the GCD (or HCF) of numerator and denominator
GCD of 322 and 392 is 14
Divide both the numerator and denominator by the GCD
322 ÷ 14
392 ÷ 14
Reduced fraction:
23
28
Therefore, 322/392 simplified to lowest terms is 23/28.