Highest Common Factor of 4704, 8867 using Euclid's algorithm
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 4704, 8867 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4704, 8867 is 1 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 4704, 8867 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 4704, 8867 is 1.
HCF(4704, 8867) = 1
HCF of 4704, 8867 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4704, 8867 is 1.
Highest Common Factor of 4704,8867 is 1
Step 1: Since 8867 > 4704, we apply the division lemma to 8867 and 4704, to get
8867 = 4704 x 1 + 4163
Step 2: Since the reminder 4704 ≠ 0, we apply division lemma to 4163 and 4704, to get
4704 = 4163 x 1 + 541
Step 3: We consider the new divisor 4163 and the new remainder 541, and apply the division lemma to get
4163 = 541 x 7 + 376
We consider the new divisor 541 and the new remainder 376,and apply the division lemma to get
541 = 376 x 1 + 165
We consider the new divisor 376 and the new remainder 165,and apply the division lemma to get
376 = 165 x 2 + 46
We consider the new divisor 165 and the new remainder 46,and apply the division lemma to get
165 = 46 x 3 + 27
We consider the new divisor 46 and the new remainder 27,and apply the division lemma to get
46 = 27 x 1 + 19
We consider the new divisor 27 and the new remainder 19,and apply the division lemma to get
27 = 19 x 1 + 8
We consider the new divisor 19 and the new remainder 8,and apply the division lemma to get
19 = 8 x 2 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4704 and 8867 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(19,8) = HCF(27,19) = HCF(46,27) = HCF(165,46) = HCF(376,165) = HCF(541,376) = HCF(4163,541) = HCF(4704,4163) = HCF(8867,4704) .
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Frequently Asked Questions on HCF of 4704, 8867 using Euclid's Algorithm
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 4704, 8867?
Answer: HCF of 4704, 8867 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4704, 8867 using Euclid's Algorithm?
Answer: For arbitrary numbers 4704, 8867 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.