Highest Common Factor of 4406, 6657 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 4406, 6657 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4406, 6657 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 4406, 6657 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 4406, 6657 is 1.
HCF(4406, 6657) = 1
HCF of 4406, 6657 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4406, 6657 is 1.
Highest Common Factor of 4406,6657 is 1
Step 1: Since 6657 > 4406, we apply the division lemma to 6657 and 4406, to get
6657 = 4406 x 1 + 2251
Step 2: Since the reminder 4406 ≠ 0, we apply division lemma to 2251 and 4406, to get
4406 = 2251 x 1 + 2155
Step 3: We consider the new divisor 2251 and the new remainder 2155, and apply the division lemma to get
2251 = 2155 x 1 + 96
We consider the new divisor 2155 and the new remainder 96,and apply the division lemma to get
2155 = 96 x 22 + 43
We consider the new divisor 96 and the new remainder 43,and apply the division lemma to get
96 = 43 x 2 + 10
We consider the new divisor 43 and the new remainder 10,and apply the division lemma to get
43 = 10 x 4 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4406 and 6657 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(43,10) = HCF(96,43) = HCF(2155,96) = HCF(2251,2155) = HCF(4406,2251) = HCF(6657,4406) .
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Frequently Asked Questions on HCF of 4406, 6657 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 4406, 6657?
Answer: HCF of 4406, 6657 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4406, 6657 using Euclid's Algorithm?
Answer: For arbitrary numbers 4406, 6657 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.