Highest Common Factor of 3473, 9325 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 3473, 9325 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3473, 9325 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 3473, 9325 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 3473, 9325 is 1.
HCF(3473, 9325) = 1
HCF of 3473, 9325 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3473, 9325 is 1.
Highest Common Factor of 3473,9325 is 1
Step 1: Since 9325 > 3473, we apply the division lemma to 9325 and 3473, to get
9325 = 3473 x 2 + 2379
Step 2: Since the reminder 3473 ≠ 0, we apply division lemma to 2379 and 3473, to get
3473 = 2379 x 1 + 1094
Step 3: We consider the new divisor 2379 and the new remainder 1094, and apply the division lemma to get
2379 = 1094 x 2 + 191
We consider the new divisor 1094 and the new remainder 191,and apply the division lemma to get
1094 = 191 x 5 + 139
We consider the new divisor 191 and the new remainder 139,and apply the division lemma to get
191 = 139 x 1 + 52
We consider the new divisor 139 and the new remainder 52,and apply the division lemma to get
139 = 52 x 2 + 35
We consider the new divisor 52 and the new remainder 35,and apply the division lemma to get
52 = 35 x 1 + 17
We consider the new divisor 35 and the new remainder 17,and apply the division lemma to get
35 = 17 x 2 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3473 and 9325 is 1
Notice that 1 = HCF(17,1) = HCF(35,17) = HCF(52,35) = HCF(139,52) = HCF(191,139) = HCF(1094,191) = HCF(2379,1094) = HCF(3473,2379) = HCF(9325,3473) .
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Frequently Asked Questions on HCF of 3473, 9325 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 3473, 9325?
Answer: HCF of 3473, 9325 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3473, 9325 using Euclid's Algorithm?
Answer: For arbitrary numbers 3473, 9325 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.