Question

what is theHCF of 91,49 112​

Answer 1

Answer:

HCF is 7

Step-by-step explanation:

Given three numbers 91, 112, 49

we have to find that how we can find the HCF of above three numbers.

HCF of pair of numbers can be calculated by prime factorization method.

Factors of pair of numbers are

91=7 × 13

112=2 × 2 × 2 × 2 × 7

49=7 × 7

HCF is the highest common factor and 7 is the highest common factor for all of the three numbers

HCF(91, 112, 49)=7

Hence, HCF is 7

Answer 2

$\huge\bf\mathfrak\pink{Answer}$

$\boxed{\bf{ 7 } }$

$\huge\bf\red{Step-by-Step\:Explanation}$

$\boxed{\bf{HCF\:is\:the\:highest\:common\:factor}}$

$\boxed{\bf{In\:simple\: terms\: it\:is\:highest\:number \:that \:divides\:all\:the\: numbers}}$

$\boxed{\bf{Factors\:of\:91\:\:=\:\:1\:,\:7\:,\:13\:,\:91}}$

$\boxed{\bf{Factors\:of\:49\:\:=\:\:1\:,\:7\:,\:49}}$

$\boxed{\bf{Factors\:of\:112\:\:=\:\:1\:,\:2\:,\:4\:,\:7\:,\:8\:,\:14\:,\:16\:,\:28\:,\:56\:,\:112}}$

$\boxed{\bf{As\:you\:can\:see\:that\:the\: number\:common\:in\:the\:three\: numbers\:is\:7}}$

$\boxed{\bf{So\:,\:HCF\:is\:7}}$

$\bf\green{Please\:mark\: the\: answer\: as \:brainliest}$

$\bf{ Stay \:Home \:And \:Stay\:Safe}$

$\huge\bf{Thanks}$

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