Highest Common Factor of 596, 8786 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 596, 8786 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 596, 8786 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 596, 8786 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 596, 8786 is 2.
HCF(596, 8786) = 2
HCF of 596, 8786 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 596, 8786 is 2.
Highest Common Factor of 596,8786 is 2
Step 1: Since 8786 > 596, we apply the division lemma to 8786 and 596, to get
8786 = 596 x 14 + 442
Step 2: Since the reminder 596 ≠ 0, we apply division lemma to 442 and 596, to get
596 = 442 x 1 + 154
Step 3: We consider the new divisor 442 and the new remainder 154, and apply the division lemma to get
442 = 154 x 2 + 134
We consider the new divisor 154 and the new remainder 134,and apply the division lemma to get
154 = 134 x 1 + 20
We consider the new divisor 134 and the new remainder 20,and apply the division lemma to get
134 = 20 x 6 + 14
We consider the new divisor 20 and the new remainder 14,and apply the division lemma to get
20 = 14 x 1 + 6
We consider the new divisor 14 and the new remainder 6,and apply the division lemma to get
14 = 6 x 2 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 596 and 8786 is 2
Notice that 2 = HCF(6,2) = HCF(14,6) = HCF(20,14) = HCF(134,20) = HCF(154,134) = HCF(442,154) = HCF(596,442) = HCF(8786,596) .
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Frequently Asked Questions on HCF of 596, 8786 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 596, 8786?
Answer: HCF of 596, 8786 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 596, 8786 using Euclid's Algorithm?
Answer: For arbitrary numbers 596, 8786 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.