Highest Common Factor of 4643, 6077 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 4643, 6077 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4643, 6077 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 4643, 6077 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 4643, 6077 is 1.
HCF(4643, 6077) = 1
HCF of 4643, 6077 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4643, 6077 is 1.
Highest Common Factor of 4643,6077 is 1
Step 1: Since 6077 > 4643, we apply the division lemma to 6077 and 4643, to get
6077 = 4643 x 1 + 1434
Step 2: Since the reminder 4643 ≠ 0, we apply division lemma to 1434 and 4643, to get
4643 = 1434 x 3 + 341
Step 3: We consider the new divisor 1434 and the new remainder 341, and apply the division lemma to get
1434 = 341 x 4 + 70
We consider the new divisor 341 and the new remainder 70,and apply the division lemma to get
341 = 70 x 4 + 61
We consider the new divisor 70 and the new remainder 61,and apply the division lemma to get
70 = 61 x 1 + 9
We consider the new divisor 61 and the new remainder 9,and apply the division lemma to get
61 = 9 x 6 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 4643 and 6077 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(61,9) = HCF(70,61) = HCF(341,70) = HCF(1434,341) = HCF(4643,1434) = HCF(6077,4643) .
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Frequently Asked Questions on HCF of 4643, 6077 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 4643, 6077?
Answer: HCF of 4643, 6077 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4643, 6077 using Euclid's Algorithm?
Answer: For arbitrary numbers 4643, 6077 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.