Highest Common Factor of 4698, 6317 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 4698, 6317 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4698, 6317 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 4698, 6317 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 4698, 6317 is 1.
HCF(4698, 6317) = 1
HCF of 4698, 6317 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4698, 6317 is 1.
Highest Common Factor of 4698,6317 is 1
Step 1: Since 6317 > 4698, we apply the division lemma to 6317 and 4698, to get
6317 = 4698 x 1 + 1619
Step 2: Since the reminder 4698 ≠ 0, we apply division lemma to 1619 and 4698, to get
4698 = 1619 x 2 + 1460
Step 3: We consider the new divisor 1619 and the new remainder 1460, and apply the division lemma to get
1619 = 1460 x 1 + 159
We consider the new divisor 1460 and the new remainder 159,and apply the division lemma to get
1460 = 159 x 9 + 29
We consider the new divisor 159 and the new remainder 29,and apply the division lemma to get
159 = 29 x 5 + 14
We consider the new divisor 29 and the new remainder 14,and apply the division lemma to get
29 = 14 x 2 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4698 and 6317 is 1
Notice that 1 = HCF(14,1) = HCF(29,14) = HCF(159,29) = HCF(1460,159) = HCF(1619,1460) = HCF(4698,1619) = HCF(6317,4698) .
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Frequently Asked Questions on HCF of 4698, 6317 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 4698, 6317?
Answer: HCF of 4698, 6317 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4698, 6317 using Euclid's Algorithm?
Answer: For arbitrary numbers 4698, 6317 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.