Explanation
$${\textbf{Step -1: Sum of digits of 863 = 17}}$$
$${\text{17 is not divisble by 9}}$$
$${\textbf{Step -2: Sum of digits of 932 = 14}}$$
$${\text{14 is not divisible by 9}}$$
$${\textbf{Step -3:Sum of digits of 752 = 14}}$$
$${\textbf{Step -4: Sum of digits of 837 = 18}}$$
$${\text{18 is divisible by 9}}$$
$${\textbf{Hence, 837 is divisible by 9 .}}$$
$$\Rightarrow$$$$25=5\times5$$
$$\Rightarrow$$$$30=5\times6$$
Hence the Highest common factor is 5
Therefore HCF is $$5$$
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