Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 621, 47430 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 621, 47430 is 9 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 621, 47430 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 621, 47430 is 9.
HCF(621, 47430) = 9
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 621, 47430 is 9.
Step 1: Since 47430 > 621, we apply the division lemma to 47430 and 621, to get
47430 = 621 x 76 + 234
Step 2: Since the reminder 621 ≠ 0, we apply division lemma to 234 and 621, to get
621 = 234 x 2 + 153
Step 3: We consider the new divisor 234 and the new remainder 153, and apply the division lemma to get
234 = 153 x 1 + 81
We consider the new divisor 153 and the new remainder 81,and apply the division lemma to get
153 = 81 x 1 + 72
We consider the new divisor 81 and the new remainder 72,and apply the division lemma to get
81 = 72 x 1 + 9
We consider the new divisor 72 and the new remainder 9,and apply the division lemma to get
72 = 9 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 621 and 47430 is 9
Notice that 9 = HCF(72,9) = HCF(81,72) = HCF(153,81) = HCF(234,153) = HCF(621,234) = HCF(47430,621) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 621, 47430?
Answer: HCF of 621, 47430 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 621, 47430 using Euclid's Algorithm?
Answer: For arbitrary numbers 621, 47430 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.