Highest Common Factor of 7793, 9692 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 7793, 9692 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7793, 9692 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 7793, 9692 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 7793, 9692 is 1.
HCF(7793, 9692) = 1
HCF of 7793, 9692 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7793, 9692 is 1.
Highest Common Factor of 7793,9692 is 1
Step 1: Since 9692 > 7793, we apply the division lemma to 9692 and 7793, to get
9692 = 7793 x 1 + 1899
Step 2: Since the reminder 7793 ≠ 0, we apply division lemma to 1899 and 7793, to get
7793 = 1899 x 4 + 197
Step 3: We consider the new divisor 1899 and the new remainder 197, and apply the division lemma to get
1899 = 197 x 9 + 126
We consider the new divisor 197 and the new remainder 126,and apply the division lemma to get
197 = 126 x 1 + 71
We consider the new divisor 126 and the new remainder 71,and apply the division lemma to get
126 = 71 x 1 + 55
We consider the new divisor 71 and the new remainder 55,and apply the division lemma to get
71 = 55 x 1 + 16
We consider the new divisor 55 and the new remainder 16,and apply the division lemma to get
55 = 16 x 3 + 7
We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get
16 = 7 x 2 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 7793 and 9692 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(55,16) = HCF(71,55) = HCF(126,71) = HCF(197,126) = HCF(1899,197) = HCF(7793,1899) = HCF(9692,7793) .
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Frequently Asked Questions on HCF of 7793, 9692 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 7793, 9692?
Answer: HCF of 7793, 9692 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7793, 9692 using Euclid's Algorithm?
Answer: For arbitrary numbers 7793, 9692 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
