Highest Common Factor of 7697, 4973 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 7697, 4973 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7697, 4973 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 7697, 4973 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 7697, 4973 is 1.
HCF(7697, 4973) = 1
HCF of 7697, 4973 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7697, 4973 is 1.
Highest Common Factor of 7697,4973 is 1
Step 1: Since 7697 > 4973, we apply the division lemma to 7697 and 4973, to get
7697 = 4973 x 1 + 2724
Step 2: Since the reminder 4973 ≠ 0, we apply division lemma to 2724 and 4973, to get
4973 = 2724 x 1 + 2249
Step 3: We consider the new divisor 2724 and the new remainder 2249, and apply the division lemma to get
2724 = 2249 x 1 + 475
We consider the new divisor 2249 and the new remainder 475,and apply the division lemma to get
2249 = 475 x 4 + 349
We consider the new divisor 475 and the new remainder 349,and apply the division lemma to get
475 = 349 x 1 + 126
We consider the new divisor 349 and the new remainder 126,and apply the division lemma to get
349 = 126 x 2 + 97
We consider the new divisor 126 and the new remainder 97,and apply the division lemma to get
126 = 97 x 1 + 29
We consider the new divisor 97 and the new remainder 29,and apply the division lemma to get
97 = 29 x 3 + 10
We consider the new divisor 29 and the new remainder 10,and apply the division lemma to get
29 = 10 x 2 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7697 and 4973 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(29,10) = HCF(97,29) = HCF(126,97) = HCF(349,126) = HCF(475,349) = HCF(2249,475) = HCF(2724,2249) = HCF(4973,2724) = HCF(7697,4973) .
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Frequently Asked Questions on HCF of 7697, 4973 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 7697, 4973?
Answer: HCF of 7697, 4973 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7697, 4973 using Euclid's Algorithm?
Answer: For arbitrary numbers 7697, 4973 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
