Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \text{6}}}}}[/tex]
Step-by-step explanation:
[tex] \bigstar{ \text{ \: H.C.F \: of \: 24, 30, 36}}[/tex]
[tex] \text{Step \: 1 : First \: of \: all \: find \: the \: prime \: factor \: of \: each \: number}[/tex]
[tex] \mapsto{ \sf{24 = \: 2 \: ∗ \: 2 \: ∗ \: 2 \: ∗ \: 3}}[/tex]
[tex] \mapsto{ \sf{30 = 2 \: ∗ \: 3 \: ∗ \: 5}}[/tex]
[tex] \mapsto{ \sf{36 = 2 \: ∗ \: 2 \: ∗ \: 3 \: ∗ \: 3}}[/tex]
[tex] \text{Step \: 2 : Take \: out \: the \: common \: prime \: factors \: of \: given \: number}[/tex]
[tex] \mapsto{ \sf{Common \: prime \: factors = 2 \: and \: 3 \: }}[/tex]
[tex] \text{Step \: 3 : \: Multiply \: those \: all \: common \: prime \: factors \: and \: the \: number \: which \: is \: obtained \: is \: h.c.f}[/tex]
[tex] \mapsto{ \sf{ \: H.C.F = Common \: prime \: factors}}[/tex]
[tex] \mapsto{ \sf{H.C.F = 2 \: ∗ \: 3}}[/tex]
[tex] \mapsto{ \boxed{\sf{H.C.F = 6}}}[/tex]
[tex] \text{∴ \: the \: H.C.F \: of \: 24 \: , \: 30 \: and \: 36 \: is \: 6. }[/tex]
[tex] \sf{Hope \: I \: helped !!}[/tex]
[tex] \sf{Best \: regards !!}[/tex]
~[tex] \text{ TheAnimeGirl}[/tex]
