Highest Common Factor of 4667, 6482 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 4667, 6482 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4667, 6482 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 4667, 6482 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 4667, 6482 is 1.
HCF(4667, 6482) = 1
HCF of 4667, 6482 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4667, 6482 is 1.
Highest Common Factor of 4667,6482 is 1
Step 1: Since 6482 > 4667, we apply the division lemma to 6482 and 4667, to get
6482 = 4667 x 1 + 1815
Step 2: Since the reminder 4667 ≠ 0, we apply division lemma to 1815 and 4667, to get
4667 = 1815 x 2 + 1037
Step 3: We consider the new divisor 1815 and the new remainder 1037, and apply the division lemma to get
1815 = 1037 x 1 + 778
We consider the new divisor 1037 and the new remainder 778,and apply the division lemma to get
1037 = 778 x 1 + 259
We consider the new divisor 778 and the new remainder 259,and apply the division lemma to get
778 = 259 x 3 + 1
We consider the new divisor 259 and the new remainder 1,and apply the division lemma to get
259 = 1 x 259 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4667 and 6482 is 1
Notice that 1 = HCF(259,1) = HCF(778,259) = HCF(1037,778) = HCF(1815,1037) = HCF(4667,1815) = HCF(6482,4667) .
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Frequently Asked Questions on HCF of 4667, 6482 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 4667, 6482?
Answer: HCF of 4667, 6482 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4667, 6482 using Euclid's Algorithm?
Answer: For arbitrary numbers 4667, 6482 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.