Highest Common Factor of 8016, 4753 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 8016, 4753 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8016, 4753 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 8016, 4753 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 8016, 4753 is 1.
HCF(8016, 4753) = 1
HCF of 8016, 4753 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8016, 4753 is 1.
Highest Common Factor of 8016,4753 is 1
Step 1: Since 8016 > 4753, we apply the division lemma to 8016 and 4753, to get
8016 = 4753 x 1 + 3263
Step 2: Since the reminder 4753 ≠ 0, we apply division lemma to 3263 and 4753, to get
4753 = 3263 x 1 + 1490
Step 3: We consider the new divisor 3263 and the new remainder 1490, and apply the division lemma to get
3263 = 1490 x 2 + 283
We consider the new divisor 1490 and the new remainder 283,and apply the division lemma to get
1490 = 283 x 5 + 75
We consider the new divisor 283 and the new remainder 75,and apply the division lemma to get
283 = 75 x 3 + 58
We consider the new divisor 75 and the new remainder 58,and apply the division lemma to get
75 = 58 x 1 + 17
We consider the new divisor 58 and the new remainder 17,and apply the division lemma to get
58 = 17 x 3 + 7
We consider the new divisor 17 and the new remainder 7,and apply the division lemma to get
17 = 7 x 2 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8016 and 4753 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(17,7) = HCF(58,17) = HCF(75,58) = HCF(283,75) = HCF(1490,283) = HCF(3263,1490) = HCF(4753,3263) = HCF(8016,4753) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8016, 4753 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 8016, 4753?
Answer: HCF of 8016, 4753 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8016, 4753 using Euclid's Algorithm?
Answer: For arbitrary numbers 8016, 4753 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.