Highest Common Factor of 4103, 9309 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 4103, 9309 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4103, 9309 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 4103, 9309 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 4103, 9309 is 1.
HCF(4103, 9309) = 1
HCF of 4103, 9309 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4103, 9309 is 1.
Highest Common Factor of 4103,9309 is 1
Step 1: Since 9309 > 4103, we apply the division lemma to 9309 and 4103, to get
9309 = 4103 x 2 + 1103
Step 2: Since the reminder 4103 ≠ 0, we apply division lemma to 1103 and 4103, to get
4103 = 1103 x 3 + 794
Step 3: We consider the new divisor 1103 and the new remainder 794, and apply the division lemma to get
1103 = 794 x 1 + 309
We consider the new divisor 794 and the new remainder 309,and apply the division lemma to get
794 = 309 x 2 + 176
We consider the new divisor 309 and the new remainder 176,and apply the division lemma to get
309 = 176 x 1 + 133
We consider the new divisor 176 and the new remainder 133,and apply the division lemma to get
176 = 133 x 1 + 43
We consider the new divisor 133 and the new remainder 43,and apply the division lemma to get
133 = 43 x 3 + 4
We consider the new divisor 43 and the new remainder 4,and apply the division lemma to get
43 = 4 x 10 + 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 4103 and 9309 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(43,4) = HCF(133,43) = HCF(176,133) = HCF(309,176) = HCF(794,309) = HCF(1103,794) = HCF(4103,1103) = HCF(9309,4103) .
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Frequently Asked Questions on HCF of 4103, 9309 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 4103, 9309?
Answer: HCF of 4103, 9309 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4103, 9309 using Euclid's Algorithm?
Answer: For arbitrary numbers 4103, 9309 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.