Highest Common Factor of 9469, 3633 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 9469, 3633 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9469, 3633 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 9469, 3633 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 9469, 3633 is 1.
HCF(9469, 3633) = 1
HCF of 9469, 3633 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9469, 3633 is 1.
Highest Common Factor of 9469,3633 is 1
Step 1: Since 9469 > 3633, we apply the division lemma to 9469 and 3633, to get
9469 = 3633 x 2 + 2203
Step 2: Since the reminder 3633 ≠ 0, we apply division lemma to 2203 and 3633, to get
3633 = 2203 x 1 + 1430
Step 3: We consider the new divisor 2203 and the new remainder 1430, and apply the division lemma to get
2203 = 1430 x 1 + 773
We consider the new divisor 1430 and the new remainder 773,and apply the division lemma to get
1430 = 773 x 1 + 657
We consider the new divisor 773 and the new remainder 657,and apply the division lemma to get
773 = 657 x 1 + 116
We consider the new divisor 657 and the new remainder 116,and apply the division lemma to get
657 = 116 x 5 + 77
We consider the new divisor 116 and the new remainder 77,and apply the division lemma to get
116 = 77 x 1 + 39
We consider the new divisor 77 and the new remainder 39,and apply the division lemma to get
77 = 39 x 1 + 38
We consider the new divisor 39 and the new remainder 38,and apply the division lemma to get
39 = 38 x 1 + 1
We consider the new divisor 38 and the new remainder 1,and apply the division lemma to get
38 = 1 x 38 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9469 and 3633 is 1
Notice that 1 = HCF(38,1) = HCF(39,38) = HCF(77,39) = HCF(116,77) = HCF(657,116) = HCF(773,657) = HCF(1430,773) = HCF(2203,1430) = HCF(3633,2203) = HCF(9469,3633) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9469, 3633 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 9469, 3633?
Answer: HCF of 9469, 3633 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9469, 3633 using Euclid's Algorithm?
Answer: For arbitrary numbers 9469, 3633 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.