Highest Common Factor of 193, 8646, 9081 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 193, 8646, 9081 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 193, 8646, 9081 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 193, 8646, 9081 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 193, 8646, 9081 is 1.
HCF(193, 8646, 9081) = 1
HCF of 193, 8646, 9081 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 193, 8646, 9081 is 1.
Highest Common Factor of 193,8646,9081 is 1
Step 1: Since 8646 > 193, we apply the division lemma to 8646 and 193, to get
8646 = 193 x 44 + 154
Step 2: Since the reminder 193 ≠ 0, we apply division lemma to 154 and 193, to get
193 = 154 x 1 + 39
Step 3: We consider the new divisor 154 and the new remainder 39, and apply the division lemma to get
154 = 39 x 3 + 37
We consider the new divisor 39 and the new remainder 37,and apply the division lemma to get
39 = 37 x 1 + 2
We consider the new divisor 37 and the new remainder 2,and apply the division lemma to get
37 = 2 x 18 + 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 193 and 8646 is 1
Notice that 1 = HCF(2,1) = HCF(37,2) = HCF(39,37) = HCF(154,39) = HCF(193,154) = HCF(8646,193) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9081 > 1, we apply the division lemma to 9081 and 1, to get
9081 = 1 x 9081 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9081 is 1
Notice that 1 = HCF(9081,1) .
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Frequently Asked Questions on HCF of 193, 8646, 9081 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 193, 8646, 9081?
Answer: HCF of 193, 8646, 9081 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 193, 8646, 9081 using Euclid's Algorithm?
Answer: For arbitrary numbers 193, 8646, 9081 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.