Highest Common Factor of 9614, 5033 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 9614, 5033 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9614, 5033 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 9614, 5033 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 9614, 5033 is 1.
HCF(9614, 5033) = 1
HCF of 9614, 5033 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9614, 5033 is 1.
Highest Common Factor of 9614,5033 is 1
Step 1: Since 9614 > 5033, we apply the division lemma to 9614 and 5033, to get
9614 = 5033 x 1 + 4581
Step 2: Since the reminder 5033 ≠ 0, we apply division lemma to 4581 and 5033, to get
5033 = 4581 x 1 + 452
Step 3: We consider the new divisor 4581 and the new remainder 452, and apply the division lemma to get
4581 = 452 x 10 + 61
We consider the new divisor 452 and the new remainder 61,and apply the division lemma to get
452 = 61 x 7 + 25
We consider the new divisor 61 and the new remainder 25,and apply the division lemma to get
61 = 25 x 2 + 11
We consider the new divisor 25 and the new remainder 11,and apply the division lemma to get
25 = 11 x 2 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 9614 and 5033 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(25,11) = HCF(61,25) = HCF(452,61) = HCF(4581,452) = HCF(5033,4581) = HCF(9614,5033) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9614, 5033 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 9614, 5033?
Answer: HCF of 9614, 5033 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9614, 5033 using Euclid's Algorithm?
Answer: For arbitrary numbers 9614, 5033 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.