Highest Common Factor of 4463, 3409 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 4463, 3409 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4463, 3409 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 4463, 3409 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 4463, 3409 is 1.
HCF(4463, 3409) = 1
HCF of 4463, 3409 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4463, 3409 is 1.
Highest Common Factor of 4463,3409 is 1
Step 1: Since 4463 > 3409, we apply the division lemma to 4463 and 3409, to get
4463 = 3409 x 1 + 1054
Step 2: Since the reminder 3409 ≠ 0, we apply division lemma to 1054 and 3409, to get
3409 = 1054 x 3 + 247
Step 3: We consider the new divisor 1054 and the new remainder 247, and apply the division lemma to get
1054 = 247 x 4 + 66
We consider the new divisor 247 and the new remainder 66,and apply the division lemma to get
247 = 66 x 3 + 49
We consider the new divisor 66 and the new remainder 49,and apply the division lemma to get
66 = 49 x 1 + 17
We consider the new divisor 49 and the new remainder 17,and apply the division lemma to get
49 = 17 x 2 + 15
We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get
17 = 15 x 1 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 4463 and 3409 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(49,17) = HCF(66,49) = HCF(247,66) = HCF(1054,247) = HCF(3409,1054) = HCF(4463,3409) .
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Frequently Asked Questions on HCF of 4463, 3409 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 4463, 3409?
Answer: HCF of 4463, 3409 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4463, 3409 using Euclid's Algorithm?
Answer: For arbitrary numbers 4463, 3409 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.