Highest Common Factor of 9431, 3346 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 9431, 3346 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9431, 3346 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 9431, 3346 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 9431, 3346 is 1.
HCF(9431, 3346) = 1
HCF of 9431, 3346 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9431, 3346 is 1.
Highest Common Factor of 9431,3346 is 1
Step 1: Since 9431 > 3346, we apply the division lemma to 9431 and 3346, to get
9431 = 3346 x 2 + 2739
Step 2: Since the reminder 3346 ≠ 0, we apply division lemma to 2739 and 3346, to get
3346 = 2739 x 1 + 607
Step 3: We consider the new divisor 2739 and the new remainder 607, and apply the division lemma to get
2739 = 607 x 4 + 311
We consider the new divisor 607 and the new remainder 311,and apply the division lemma to get
607 = 311 x 1 + 296
We consider the new divisor 311 and the new remainder 296,and apply the division lemma to get
311 = 296 x 1 + 15
We consider the new divisor 296 and the new remainder 15,and apply the division lemma to get
296 = 15 x 19 + 11
We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get
15 = 11 x 1 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9431 and 3346 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(296,15) = HCF(311,296) = HCF(607,311) = HCF(2739,607) = HCF(3346,2739) = HCF(9431,3346) .
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Frequently Asked Questions on HCF of 9431, 3346 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 9431, 3346?
Answer: HCF of 9431, 3346 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9431, 3346 using Euclid's Algorithm?
Answer: For arbitrary numbers 9431, 3346 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
