Highest Common Factor of 8606, 4879 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 8606, 4879 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8606, 4879 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 8606, 4879 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 8606, 4879 is 1.
HCF(8606, 4879) = 1
HCF of 8606, 4879 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8606, 4879 is 1.
Highest Common Factor of 8606,4879 is 1
Step 1: Since 8606 > 4879, we apply the division lemma to 8606 and 4879, to get
8606 = 4879 x 1 + 3727
Step 2: Since the reminder 4879 ≠ 0, we apply division lemma to 3727 and 4879, to get
4879 = 3727 x 1 + 1152
Step 3: We consider the new divisor 3727 and the new remainder 1152, and apply the division lemma to get
3727 = 1152 x 3 + 271
We consider the new divisor 1152 and the new remainder 271,and apply the division lemma to get
1152 = 271 x 4 + 68
We consider the new divisor 271 and the new remainder 68,and apply the division lemma to get
271 = 68 x 3 + 67
We consider the new divisor 68 and the new remainder 67,and apply the division lemma to get
68 = 67 x 1 + 1
We consider the new divisor 67 and the new remainder 1,and apply the division lemma to get
67 = 1 x 67 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8606 and 4879 is 1
Notice that 1 = HCF(67,1) = HCF(68,67) = HCF(271,68) = HCF(1152,271) = HCF(3727,1152) = HCF(4879,3727) = HCF(8606,4879) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8606, 4879 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 8606, 4879?
Answer: HCF of 8606, 4879 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8606, 4879 using Euclid's Algorithm?
Answer: For arbitrary numbers 8606, 4879 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.