Highest Common Factor of 8667, 4857 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 8667, 4857 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8667, 4857 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 8667, 4857 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 8667, 4857 is 3.
HCF(8667, 4857) = 3
HCF of 8667, 4857 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8667, 4857 is 3.
Highest Common Factor of 8667,4857 is 3
Step 1: Since 8667 > 4857, we apply the division lemma to 8667 and 4857, to get
8667 = 4857 x 1 + 3810
Step 2: Since the reminder 4857 ≠ 0, we apply division lemma to 3810 and 4857, to get
4857 = 3810 x 1 + 1047
Step 3: We consider the new divisor 3810 and the new remainder 1047, and apply the division lemma to get
3810 = 1047 x 3 + 669
We consider the new divisor 1047 and the new remainder 669,and apply the division lemma to get
1047 = 669 x 1 + 378
We consider the new divisor 669 and the new remainder 378,and apply the division lemma to get
669 = 378 x 1 + 291
We consider the new divisor 378 and the new remainder 291,and apply the division lemma to get
378 = 291 x 1 + 87
We consider the new divisor 291 and the new remainder 87,and apply the division lemma to get
291 = 87 x 3 + 30
We consider the new divisor 87 and the new remainder 30,and apply the division lemma to get
87 = 30 x 2 + 27
We consider the new divisor 30 and the new remainder 27,and apply the division lemma to get
30 = 27 x 1 + 3
We consider the new divisor 27 and the new remainder 3,and apply the division lemma to get
27 = 3 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8667 and 4857 is 3
Notice that 3 = HCF(27,3) = HCF(30,27) = HCF(87,30) = HCF(291,87) = HCF(378,291) = HCF(669,378) = HCF(1047,669) = HCF(3810,1047) = HCF(4857,3810) = HCF(8667,4857) .
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Frequently Asked Questions on HCF of 8667, 4857 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 8667, 4857?
Answer: HCF of 8667, 4857 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8667, 4857 using Euclid's Algorithm?
Answer: For arbitrary numbers 8667, 4857 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
