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 4767, 8163 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4767, 8163 is 3 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 4767, 8163 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 4767, 8163 is 3.
HCF(4767, 8163) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4767, 8163 is 3.
Step 1: Since 8163 > 4767, we apply the division lemma to 8163 and 4767, to get
8163 = 4767 x 1 + 3396
Step 2: Since the reminder 4767 ≠ 0, we apply division lemma to 3396 and 4767, to get
4767 = 3396 x 1 + 1371
Step 3: We consider the new divisor 3396 and the new remainder 1371, and apply the division lemma to get
3396 = 1371 x 2 + 654
We consider the new divisor 1371 and the new remainder 654,and apply the division lemma to get
1371 = 654 x 2 + 63
We consider the new divisor 654 and the new remainder 63,and apply the division lemma to get
654 = 63 x 10 + 24
We consider the new divisor 63 and the new remainder 24,and apply the division lemma to get
63 = 24 x 2 + 15
We consider the new divisor 24 and the new remainder 15,and apply the division lemma to get
24 = 15 x 1 + 9
We consider the new divisor 15 and the new remainder 9,and apply the division lemma to get
15 = 9 x 1 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4767 and 8163 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(15,9) = HCF(24,15) = HCF(63,24) = HCF(654,63) = HCF(1371,654) = HCF(3396,1371) = HCF(4767,3396) = HCF(8163,4767) .
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 4767, 8163?
Answer: HCF of 4767, 8163 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4767, 8163 using Euclid's Algorithm?
Answer: For arbitrary numbers 4767, 8163 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.