Highest Common Factor of 5321, 3098 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 5321, 3098 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5321, 3098 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 5321, 3098 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 5321, 3098 is 1.
HCF(5321, 3098) = 1
HCF of 5321, 3098 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5321, 3098 is 1.
Highest Common Factor of 5321,3098 is 1
Step 1: Since 5321 > 3098, we apply the division lemma to 5321 and 3098, to get
5321 = 3098 x 1 + 2223
Step 2: Since the reminder 3098 ≠ 0, we apply division lemma to 2223 and 3098, to get
3098 = 2223 x 1 + 875
Step 3: We consider the new divisor 2223 and the new remainder 875, and apply the division lemma to get
2223 = 875 x 2 + 473
We consider the new divisor 875 and the new remainder 473,and apply the division lemma to get
875 = 473 x 1 + 402
We consider the new divisor 473 and the new remainder 402,and apply the division lemma to get
473 = 402 x 1 + 71
We consider the new divisor 402 and the new remainder 71,and apply the division lemma to get
402 = 71 x 5 + 47
We consider the new divisor 71 and the new remainder 47,and apply the division lemma to get
71 = 47 x 1 + 24
We consider the new divisor 47 and the new remainder 24,and apply the division lemma to get
47 = 24 x 1 + 23
We consider the new divisor 24 and the new remainder 23,and apply the division lemma to get
24 = 23 x 1 + 1
We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5321 and 3098 is 1
Notice that 1 = HCF(23,1) = HCF(24,23) = HCF(47,24) = HCF(71,47) = HCF(402,71) = HCF(473,402) = HCF(875,473) = HCF(2223,875) = HCF(3098,2223) = HCF(5321,3098) .
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Frequently Asked Questions on HCF of 5321, 3098 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 5321, 3098?
Answer: HCF of 5321, 3098 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5321, 3098 using Euclid's Algorithm?
Answer: For arbitrary numbers 5321, 3098 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
