Highest Common Factor of 9385, 4591 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 9385, 4591 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9385, 4591 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 9385, 4591 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 9385, 4591 is 1.
HCF(9385, 4591) = 1
HCF of 9385, 4591 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9385, 4591 is 1.
Highest Common Factor of 9385,4591 is 1
Step 1: Since 9385 > 4591, we apply the division lemma to 9385 and 4591, to get
9385 = 4591 x 2 + 203
Step 2: Since the reminder 4591 ≠ 0, we apply division lemma to 203 and 4591, to get
4591 = 203 x 22 + 125
Step 3: We consider the new divisor 203 and the new remainder 125, and apply the division lemma to get
203 = 125 x 1 + 78
We consider the new divisor 125 and the new remainder 78,and apply the division lemma to get
125 = 78 x 1 + 47
We consider the new divisor 78 and the new remainder 47,and apply the division lemma to get
78 = 47 x 1 + 31
We consider the new divisor 47 and the new remainder 31,and apply the division lemma to get
47 = 31 x 1 + 16
We consider the new divisor 31 and the new remainder 16,and apply the division lemma to get
31 = 16 x 1 + 15
We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get
16 = 15 x 1 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9385 and 4591 is 1
Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(31,16) = HCF(47,31) = HCF(78,47) = HCF(125,78) = HCF(203,125) = HCF(4591,203) = HCF(9385,4591) .
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Frequently Asked Questions on HCF of 9385, 4591 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 9385, 4591?
Answer: HCF of 9385, 4591 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9385, 4591 using Euclid's Algorithm?
Answer: For arbitrary numbers 9385, 4591 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.