Highest Common Factor of 4562, 8013 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 4562, 8013 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4562, 8013 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 4562, 8013 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 4562, 8013 is 1.
HCF(4562, 8013) = 1
HCF of 4562, 8013 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4562, 8013 is 1.
Highest Common Factor of 4562,8013 is 1
Step 1: Since 8013 > 4562, we apply the division lemma to 8013 and 4562, to get
8013 = 4562 x 1 + 3451
Step 2: Since the reminder 4562 ≠ 0, we apply division lemma to 3451 and 4562, to get
4562 = 3451 x 1 + 1111
Step 3: We consider the new divisor 3451 and the new remainder 1111, and apply the division lemma to get
3451 = 1111 x 3 + 118
We consider the new divisor 1111 and the new remainder 118,and apply the division lemma to get
1111 = 118 x 9 + 49
We consider the new divisor 118 and the new remainder 49,and apply the division lemma to get
118 = 49 x 2 + 20
We consider the new divisor 49 and the new remainder 20,and apply the division lemma to get
49 = 20 x 2 + 9
We consider the new divisor 20 and the new remainder 9,and apply the division lemma to get
20 = 9 x 2 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4562 and 8013 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(20,9) = HCF(49,20) = HCF(118,49) = HCF(1111,118) = HCF(3451,1111) = HCF(4562,3451) = HCF(8013,4562) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4562, 8013 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 4562, 8013?
Answer: HCF of 4562, 8013 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4562, 8013 using Euclid's Algorithm?
Answer: For arbitrary numbers 4562, 8013 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
