Highest Common Factor of 2306, 8762 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 2306, 8762 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2306, 8762 is 2 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 2306, 8762 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 2306, 8762 is 2.
HCF(2306, 8762) = 2
HCF of 2306, 8762 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2306, 8762 is 2.
Highest Common Factor of 2306,8762 is 2
Step 1: Since 8762 > 2306, we apply the division lemma to 8762 and 2306, to get
8762 = 2306 x 3 + 1844
Step 2: Since the reminder 2306 ≠ 0, we apply division lemma to 1844 and 2306, to get
2306 = 1844 x 1 + 462
Step 3: We consider the new divisor 1844 and the new remainder 462, and apply the division lemma to get
1844 = 462 x 3 + 458
We consider the new divisor 462 and the new remainder 458,and apply the division lemma to get
462 = 458 x 1 + 4
We consider the new divisor 458 and the new remainder 4,and apply the division lemma to get
458 = 4 x 114 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2306 and 8762 is 2
Notice that 2 = HCF(4,2) = HCF(458,4) = HCF(462,458) = HCF(1844,462) = HCF(2306,1844) = HCF(8762,2306) .
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Frequently Asked Questions on HCF of 2306, 8762 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 2306, 8762?
Answer: HCF of 2306, 8762 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2306, 8762 using Euclid's Algorithm?
Answer: For arbitrary numbers 2306, 8762 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.