Highest Common Factor of 2806, 4706 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 2806, 4706 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2806, 4706 is 2 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 2806, 4706 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 2806, 4706 is 2.
HCF(2806, 4706) = 2
HCF of 2806, 4706 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2806, 4706 is 2.
Highest Common Factor of 2806,4706 is 2
Step 1: Since 4706 > 2806, we apply the division lemma to 4706 and 2806, to get
4706 = 2806 x 1 + 1900
Step 2: Since the reminder 2806 ≠ 0, we apply division lemma to 1900 and 2806, to get
2806 = 1900 x 1 + 906
Step 3: We consider the new divisor 1900 and the new remainder 906, and apply the division lemma to get
1900 = 906 x 2 + 88
We consider the new divisor 906 and the new remainder 88,and apply the division lemma to get
906 = 88 x 10 + 26
We consider the new divisor 88 and the new remainder 26,and apply the division lemma to get
88 = 26 x 3 + 10
We consider the new divisor 26 and the new remainder 10,and apply the division lemma to get
26 = 10 x 2 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2806 and 4706 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(26,10) = HCF(88,26) = HCF(906,88) = HCF(1900,906) = HCF(2806,1900) = HCF(4706,2806) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 2806, 4706 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 2806, 4706?
Answer: HCF of 2806, 4706 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2806, 4706 using Euclid's Algorithm?
Answer: For arbitrary numbers 2806, 4706 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.