Highest Common Factor of 9646, 1145 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 9646, 1145 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9646, 1145 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 9646, 1145 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 9646, 1145 is 1.
HCF(9646, 1145) = 1
HCF of 9646, 1145 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9646, 1145 is 1.
Highest Common Factor of 9646,1145 is 1
Step 1: Since 9646 > 1145, we apply the division lemma to 9646 and 1145, to get
9646 = 1145 x 8 + 486
Step 2: Since the reminder 1145 ≠ 0, we apply division lemma to 486 and 1145, to get
1145 = 486 x 2 + 173
Step 3: We consider the new divisor 486 and the new remainder 173, and apply the division lemma to get
486 = 173 x 2 + 140
We consider the new divisor 173 and the new remainder 140,and apply the division lemma to get
173 = 140 x 1 + 33
We consider the new divisor 140 and the new remainder 33,and apply the division lemma to get
140 = 33 x 4 + 8
We consider the new divisor 33 and the new remainder 8,and apply the division lemma to get
33 = 8 x 4 + 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 9646 and 1145 is 1
Notice that 1 = HCF(8,1) = HCF(33,8) = HCF(140,33) = HCF(173,140) = HCF(486,173) = HCF(1145,486) = HCF(9646,1145) .
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Frequently Asked Questions on HCF of 9646, 1145 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 9646, 1145?
Answer: HCF of 9646, 1145 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9646, 1145 using Euclid's Algorithm?
Answer: For arbitrary numbers 9646, 1145 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.