Highest Common Factor of 5323, 7307 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 5323, 7307 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5323, 7307 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 5323, 7307 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 5323, 7307 is 1.
HCF(5323, 7307) = 1
HCF of 5323, 7307 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5323, 7307 is 1.
Highest Common Factor of 5323,7307 is 1
Step 1: Since 7307 > 5323, we apply the division lemma to 7307 and 5323, to get
7307 = 5323 x 1 + 1984
Step 2: Since the reminder 5323 ≠ 0, we apply division lemma to 1984 and 5323, to get
5323 = 1984 x 2 + 1355
Step 3: We consider the new divisor 1984 and the new remainder 1355, and apply the division lemma to get
1984 = 1355 x 1 + 629
We consider the new divisor 1355 and the new remainder 629,and apply the division lemma to get
1355 = 629 x 2 + 97
We consider the new divisor 629 and the new remainder 97,and apply the division lemma to get
629 = 97 x 6 + 47
We consider the new divisor 97 and the new remainder 47,and apply the division lemma to get
97 = 47 x 2 + 3
We consider the new divisor 47 and the new remainder 3,and apply the division lemma to get
47 = 3 x 15 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 5323 and 7307 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(47,3) = HCF(97,47) = HCF(629,97) = HCF(1355,629) = HCF(1984,1355) = HCF(5323,1984) = HCF(7307,5323) .
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Frequently Asked Questions on HCF of 5323, 7307 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 5323, 7307?
Answer: HCF of 5323, 7307 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5323, 7307 using Euclid's Algorithm?
Answer: For arbitrary numbers 5323, 7307 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.