Highest Common Factor of 7166, 9753 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 7166, 9753 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7166, 9753 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 7166, 9753 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 7166, 9753 is 1.
HCF(7166, 9753) = 1
HCF of 7166, 9753 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7166, 9753 is 1.
Highest Common Factor of 7166,9753 is 1
Step 1: Since 9753 > 7166, we apply the division lemma to 9753 and 7166, to get
9753 = 7166 x 1 + 2587
Step 2: Since the reminder 7166 ≠ 0, we apply division lemma to 2587 and 7166, to get
7166 = 2587 x 2 + 1992
Step 3: We consider the new divisor 2587 and the new remainder 1992, and apply the division lemma to get
2587 = 1992 x 1 + 595
We consider the new divisor 1992 and the new remainder 595,and apply the division lemma to get
1992 = 595 x 3 + 207
We consider the new divisor 595 and the new remainder 207,and apply the division lemma to get
595 = 207 x 2 + 181
We consider the new divisor 207 and the new remainder 181,and apply the division lemma to get
207 = 181 x 1 + 26
We consider the new divisor 181 and the new remainder 26,and apply the division lemma to get
181 = 26 x 6 + 25
We consider the new divisor 26 and the new remainder 25,and apply the division lemma to get
26 = 25 x 1 + 1
We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get
25 = 1 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7166 and 9753 is 1
Notice that 1 = HCF(25,1) = HCF(26,25) = HCF(181,26) = HCF(207,181) = HCF(595,207) = HCF(1992,595) = HCF(2587,1992) = HCF(7166,2587) = HCF(9753,7166) .
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Frequently Asked Questions on HCF of 7166, 9753 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 7166, 9753?
Answer: HCF of 7166, 9753 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7166, 9753 using Euclid's Algorithm?
Answer: For arbitrary numbers 7166, 9753 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.