find hcf of 351 and 621 by continued method
Answers
Answer:
GCD Method :
step 1 Address the formula, input parameters & values.
Input parameters & values:
The given fraction = 351/621
step 2 Find GCD (Greatest Common Factor) for both numerator & denominator.
The GCF for 351 & 621 is 27
step 3 divide the numerator & denominator by GCD 27 and rewrite the fraction
= (351/27) / (621/27)
= 13/23
Thus, 13/23 is the simplified fraction for 351/621 by using the GCD or HCF method.
Prime Factorization Method :
step 1 Address input parameters & values.
Input parameters & values:
The given fraction = 351/621
step 2 Find prime factors for both numerator & denominator and rewrite the fraction in the form of prime factors
Prime factors for 351 = 3 x 3 x 3 x 13
Prime factors for 621 = 3 x 3 x 3 x 23
= (3 x 3 x 3 x 13) / (3 x 3 x 3 x 23)
step 3 solve & rewrite the fraction
= ( 13)/( 23)
= 13/23
Thus, 13/23 is the simplified fraction for 351/621 by using the prime factorization method.
Chart
User may refer the below chart for simplest form of 351/621 and its nearest values.
Fraction Reduced Form Decimal Value
324
621
12
23
0.5217
324
675
12GCD Method :
step 1 Address the formula, input parameters & values.
Input parameters & values:
The given fraction = 351/621
step 2 Find GCD (Greatest Common Factor) for both numerator & denominator.
The GCF for 351 & 621 is 27
step 3 divide the numerator & denominator by GCD 27 and rewrite the fraction
= (351/27) / (621/27)
= 13/23
Thus, 13/23 is the simplified fraction for 351/621 by using the GCD or HCF method.
Prime Factorization Method :
step 1 Address input parameters & values.
Input parameters & values:
The given fraction = 351/621
step 2 Find prime factors for both numerator & denominator and rewrite the fraction in the form of prime factors
Prime factors for 351 = 3 x 3 x 3 x 13
Prime factors for 621 = 3 x 3 x 3 x 23
= (3 x 3 x 3 x 13) / (3 x 3 x 3 x 23)
step 3 solve & rewrite the fraction
= ( 13)/( 23)
= 13/23
Thus, 13/23 is the simplified fraction for 351/621 by using the prime factorization method.
Chart
User may refer the below chart for simplest form of 351/621 and its nearest values.
Fraction Reduced Form Decimal Value
324
621
12
23
0.5217
324
675
12
25
0.48
351
594
13
22
0.5909
351
621
13
23
0.5652
351
648
13
24
0.5417
351
675
13
25
0.52
378
621
14
23
0.6087
378
675
14
25
0.56
405
594
15
22
0.6818
405
621
15
23
0.6522
432
621
16
23
0.6957
432
675
16
25
0.64
25
0.48
351
594
13
22
0.590