Divison HCF of 286 and 352
Answers
Answer:
The below workout with step by step calculation shows how to simplify the fraction 352/286 to its lowest term or simplest form. The below are the two methods used to convert the fraction to its lowest terms.
1. GCD or HCF method
2. Prime factorization method
GCD Method :
step 1 Address the formula, input parameters & values.
Input parameters & values:
The given fraction = 352/286
step 2 Find GCD (Greatest Common Factor) for both numerator & denominator.
The GCF for 352 & 286 is 22
step 3 divide the numerator & denominator by GCD 22 and rewrite the fraction
= (352/22) / (286/22)
= 16/13
Thus, 16/13 is the simplified fraction for 352/286 by using the GCD or HCF method.
Prime Factorization Method :
step 1 Address input parameters & values.
Input parameters & values:
The given fraction = 352/286
step 2 Find prime factors for both numerator & denominator and rewrite the fraction in the form of prime factors
Prime factors for 352 = 2 x 2 x 2 x 2 x 2 x 11
Prime factors for 286 = 2 x 11 x 13
= (2 x 2 x 2 x 2 x 2 x 11) / (2 x 11 x 13)
step 3 solve & rewrite the fraction
= ( 2 x 2 x 2 x 2 )/( 13)
= 16/13
Thus, 16/13 is the simplified fraction for 352/286 by using the prime factorization method.
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