Highest Common Factor of 8326, 4737 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 8326, 4737 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8326, 4737 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 8326, 4737 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 8326, 4737 is 1.
HCF(8326, 4737) = 1
HCF of 8326, 4737 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8326, 4737 is 1.
Highest Common Factor of 8326,4737 is 1
Step 1: Since 8326 > 4737, we apply the division lemma to 8326 and 4737, to get
8326 = 4737 x 1 + 3589
Step 2: Since the reminder 4737 ≠ 0, we apply division lemma to 3589 and 4737, to get
4737 = 3589 x 1 + 1148
Step 3: We consider the new divisor 3589 and the new remainder 1148, and apply the division lemma to get
3589 = 1148 x 3 + 145
We consider the new divisor 1148 and the new remainder 145,and apply the division lemma to get
1148 = 145 x 7 + 133
We consider the new divisor 145 and the new remainder 133,and apply the division lemma to get
145 = 133 x 1 + 12
We consider the new divisor 133 and the new remainder 12,and apply the division lemma to get
133 = 12 x 11 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8326 and 4737 is 1
Notice that 1 = HCF(12,1) = HCF(133,12) = HCF(145,133) = HCF(1148,145) = HCF(3589,1148) = HCF(4737,3589) = HCF(8326,4737) .
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Frequently Asked Questions on HCF of 8326, 4737 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 8326, 4737?
Answer: HCF of 8326, 4737 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8326, 4737 using Euclid's Algorithm?
Answer: For arbitrary numbers 8326, 4737 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.