Highest Common Factor of 9793, 7667 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 9793, 7667 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9793, 7667 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 9793, 7667 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 9793, 7667 is 1.
HCF(9793, 7667) = 1
HCF of 9793, 7667 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9793, 7667 is 1.
Highest Common Factor of 9793,7667 is 1
Step 1: Since 9793 > 7667, we apply the division lemma to 9793 and 7667, to get
9793 = 7667 x 1 + 2126
Step 2: Since the reminder 7667 ≠ 0, we apply division lemma to 2126 and 7667, to get
7667 = 2126 x 3 + 1289
Step 3: We consider the new divisor 2126 and the new remainder 1289, and apply the division lemma to get
2126 = 1289 x 1 + 837
We consider the new divisor 1289 and the new remainder 837,and apply the division lemma to get
1289 = 837 x 1 + 452
We consider the new divisor 837 and the new remainder 452,and apply the division lemma to get
837 = 452 x 1 + 385
We consider the new divisor 452 and the new remainder 385,and apply the division lemma to get
452 = 385 x 1 + 67
We consider the new divisor 385 and the new remainder 67,and apply the division lemma to get
385 = 67 x 5 + 50
We consider the new divisor 67 and the new remainder 50,and apply the division lemma to get
67 = 50 x 1 + 17
We consider the new divisor 50 and the new remainder 17,and apply the division lemma to get
50 = 17 x 2 + 16
We consider the new divisor 17 and the new remainder 16,and apply the division lemma to get
17 = 16 x 1 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9793 and 7667 is 1
Notice that 1 = HCF(16,1) = HCF(17,16) = HCF(50,17) = HCF(67,50) = HCF(385,67) = HCF(452,385) = HCF(837,452) = HCF(1289,837) = HCF(2126,1289) = HCF(7667,2126) = HCF(9793,7667) .
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Frequently Asked Questions on HCF of 9793, 7667 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 9793, 7667?
Answer: HCF of 9793, 7667 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9793, 7667 using Euclid's Algorithm?
Answer: For arbitrary numbers 9793, 7667 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.