Highest Common Factor of 9693, 1760 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 9693, 1760 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9693, 1760 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 9693, 1760 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 9693, 1760 is 1.
HCF(9693, 1760) = 1
HCF of 9693, 1760 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9693, 1760 is 1.
Highest Common Factor of 9693,1760 is 1
Step 1: Since 9693 > 1760, we apply the division lemma to 9693 and 1760, to get
9693 = 1760 x 5 + 893
Step 2: Since the reminder 1760 ≠ 0, we apply division lemma to 893 and 1760, to get
1760 = 893 x 1 + 867
Step 3: We consider the new divisor 893 and the new remainder 867, and apply the division lemma to get
893 = 867 x 1 + 26
We consider the new divisor 867 and the new remainder 26,and apply the division lemma to get
867 = 26 x 33 + 9
We consider the new divisor 26 and the new remainder 9,and apply the division lemma to get
26 = 9 x 2 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9693 and 1760 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(26,9) = HCF(867,26) = HCF(893,867) = HCF(1760,893) = HCF(9693,1760) .
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Frequently Asked Questions on HCF of 9693, 1760 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 9693, 1760?
Answer: HCF of 9693, 1760 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9693, 1760 using Euclid's Algorithm?
Answer: For arbitrary numbers 9693, 1760 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.