Highest Common Factor of 7697, 8467 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, 8467 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7697, 8467 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, 8467 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, 8467 is 1.
HCF(7697, 8467) = 1
HCF of 7697, 8467 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, 8467 is 1.
Highest Common Factor of 7697,8467 is 1
Step 1: Since 8467 > 7697, we apply the division lemma to 8467 and 7697, to get
8467 = 7697 x 1 + 770
Step 2: Since the reminder 7697 ≠ 0, we apply division lemma to 770 and 7697, to get
7697 = 770 x 9 + 767
Step 3: We consider the new divisor 770 and the new remainder 767, and apply the division lemma to get
770 = 767 x 1 + 3
We consider the new divisor 767 and the new remainder 3,and apply the division lemma to get
767 = 3 x 255 + 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 7697 and 8467 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(767,3) = HCF(770,767) = HCF(7697,770) = HCF(8467,7697) .
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Frequently Asked Questions on HCF of 7697, 8467 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, 8467?
Answer: HCF of 7697, 8467 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7697, 8467 using Euclid's Algorithm?
Answer: For arbitrary numbers 7697, 8467 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.