Highest Common Factor of 8306, 7703 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 8306, 7703 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8306, 7703 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 8306, 7703 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 8306, 7703 is 1.
HCF(8306, 7703) = 1
HCF of 8306, 7703 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8306, 7703 is 1.
Highest Common Factor of 8306,7703 is 1
Step 1: Since 8306 > 7703, we apply the division lemma to 8306 and 7703, to get
8306 = 7703 x 1 + 603
Step 2: Since the reminder 7703 ≠ 0, we apply division lemma to 603 and 7703, to get
7703 = 603 x 12 + 467
Step 3: We consider the new divisor 603 and the new remainder 467, and apply the division lemma to get
603 = 467 x 1 + 136
We consider the new divisor 467 and the new remainder 136,and apply the division lemma to get
467 = 136 x 3 + 59
We consider the new divisor 136 and the new remainder 59,and apply the division lemma to get
136 = 59 x 2 + 18
We consider the new divisor 59 and the new remainder 18,and apply the division lemma to get
59 = 18 x 3 + 5
We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get
18 = 5 x 3 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8306 and 7703 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(59,18) = HCF(136,59) = HCF(467,136) = HCF(603,467) = HCF(7703,603) = HCF(8306,7703) .
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Frequently Asked Questions on HCF of 8306, 7703 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 8306, 7703?
Answer: HCF of 8306, 7703 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8306, 7703 using Euclid's Algorithm?
Answer: For arbitrary numbers 8306, 7703 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
