Highest Common Factor of 4406, 3908, 16297 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, 3908, 16297 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4406, 3908, 16297 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, 3908, 16297 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, 3908, 16297 is 1.
HCF(4406, 3908, 16297) = 1
HCF of 4406, 3908, 16297 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, 3908, 16297 is 1.
Highest Common Factor of 4406,3908,16297 is 1
Step 1: Since 4406 > 3908, we apply the division lemma to 4406 and 3908, to get
4406 = 3908 x 1 + 498
Step 2: Since the reminder 3908 ≠ 0, we apply division lemma to 498 and 3908, to get
3908 = 498 x 7 + 422
Step 3: We consider the new divisor 498 and the new remainder 422, and apply the division lemma to get
498 = 422 x 1 + 76
We consider the new divisor 422 and the new remainder 76,and apply the division lemma to get
422 = 76 x 5 + 42
We consider the new divisor 76 and the new remainder 42,and apply the division lemma to get
76 = 42 x 1 + 34
We consider the new divisor 42 and the new remainder 34,and apply the division lemma to get
42 = 34 x 1 + 8
We consider the new divisor 34 and the new remainder 8,and apply the division lemma to get
34 = 8 x 4 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4406 and 3908 is 2
Notice that 2 = HCF(8,2) = HCF(34,8) = HCF(42,34) = HCF(76,42) = HCF(422,76) = HCF(498,422) = HCF(3908,498) = HCF(4406,3908) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 16297 > 2, we apply the division lemma to 16297 and 2, to get
16297 = 2 x 8148 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 16297 is 1
Notice that 1 = HCF(2,1) = HCF(16297,2) .
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Frequently Asked Questions on HCF of 4406, 3908, 16297 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, 3908, 16297?
Answer: HCF of 4406, 3908, 16297 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4406, 3908, 16297 using Euclid's Algorithm?
Answer: For arbitrary numbers 4406, 3908, 16297 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.