Highest Common Factor of 4517, 8419 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 4517, 8419 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4517, 8419 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 4517, 8419 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 4517, 8419 is 1.
HCF(4517, 8419) = 1
HCF of 4517, 8419 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4517, 8419 is 1.
Highest Common Factor of 4517,8419 is 1
Step 1: Since 8419 > 4517, we apply the division lemma to 8419 and 4517, to get
8419 = 4517 x 1 + 3902
Step 2: Since the reminder 4517 ≠ 0, we apply division lemma to 3902 and 4517, to get
4517 = 3902 x 1 + 615
Step 3: We consider the new divisor 3902 and the new remainder 615, and apply the division lemma to get
3902 = 615 x 6 + 212
We consider the new divisor 615 and the new remainder 212,and apply the division lemma to get
615 = 212 x 2 + 191
We consider the new divisor 212 and the new remainder 191,and apply the division lemma to get
212 = 191 x 1 + 21
We consider the new divisor 191 and the new remainder 21,and apply the division lemma to get
191 = 21 x 9 + 2
We consider the new divisor 21 and the new remainder 2,and apply the division lemma to get
21 = 2 x 10 + 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 4517 and 8419 is 1
Notice that 1 = HCF(2,1) = HCF(21,2) = HCF(191,21) = HCF(212,191) = HCF(615,212) = HCF(3902,615) = HCF(4517,3902) = HCF(8419,4517) .
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Frequently Asked Questions on HCF of 4517, 8419 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 4517, 8419?
Answer: HCF of 4517, 8419 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4517, 8419 using Euclid's Algorithm?
Answer: For arbitrary numbers 4517, 8419 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.