Highest Common Factor of 9396, 3161 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 9396, 3161 i.e. 29 the largest integer that leaves a remainder zero for all numbers.
HCF of 9396, 3161 is 29 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 9396, 3161 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 9396, 3161 is 29.
HCF(9396, 3161) = 29
HCF of 9396, 3161 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9396, 3161 is 29.
Highest Common Factor of 9396,3161 is 29
Step 1: Since 9396 > 3161, we apply the division lemma to 9396 and 3161, to get
9396 = 3161 x 2 + 3074
Step 2: Since the reminder 3161 ≠ 0, we apply division lemma to 3074 and 3161, to get
3161 = 3074 x 1 + 87
Step 3: We consider the new divisor 3074 and the new remainder 87, and apply the division lemma to get
3074 = 87 x 35 + 29
We consider the new divisor 87 and the new remainder 29, and apply the division lemma to get
87 = 29 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 29, the HCF of 9396 and 3161 is 29
Notice that 29 = HCF(87,29) = HCF(3074,87) = HCF(3161,3074) = HCF(9396,3161) .
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Frequently Asked Questions on HCF of 9396, 3161 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 9396, 3161?
Answer: HCF of 9396, 3161 is 29 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9396, 3161 using Euclid's Algorithm?
Answer: For arbitrary numbers 9396, 3161 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.