Highest Common Factor of 8062, 4556 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 8062, 4556 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8062, 4556 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 8062, 4556 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 8062, 4556 is 2.
HCF(8062, 4556) = 2
HCF of 8062, 4556 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8062, 4556 is 2.
Highest Common Factor of 8062,4556 is 2
Step 1: Since 8062 > 4556, we apply the division lemma to 8062 and 4556, to get
8062 = 4556 x 1 + 3506
Step 2: Since the reminder 4556 ≠ 0, we apply division lemma to 3506 and 4556, to get
4556 = 3506 x 1 + 1050
Step 3: We consider the new divisor 3506 and the new remainder 1050, and apply the division lemma to get
3506 = 1050 x 3 + 356
We consider the new divisor 1050 and the new remainder 356,and apply the division lemma to get
1050 = 356 x 2 + 338
We consider the new divisor 356 and the new remainder 338,and apply the division lemma to get
356 = 338 x 1 + 18
We consider the new divisor 338 and the new remainder 18,and apply the division lemma to get
338 = 18 x 18 + 14
We consider the new divisor 18 and the new remainder 14,and apply the division lemma to get
18 = 14 x 1 + 4
We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get
14 = 4 x 3 + 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 8062 and 4556 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(18,14) = HCF(338,18) = HCF(356,338) = HCF(1050,356) = HCF(3506,1050) = HCF(4556,3506) = HCF(8062,4556) .
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Frequently Asked Questions on HCF of 8062, 4556 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 8062, 4556?
Answer: HCF of 8062, 4556 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8062, 4556 using Euclid's Algorithm?
Answer: For arbitrary numbers 8062, 4556 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.