Highest Common Factor of 9033, 5770 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 9033, 5770 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9033, 5770 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 9033, 5770 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 9033, 5770 is 1.
HCF(9033, 5770) = 1
HCF of 9033, 5770 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9033, 5770 is 1.
Highest Common Factor of 9033,5770 is 1
Step 1: Since 9033 > 5770, we apply the division lemma to 9033 and 5770, to get
9033 = 5770 x 1 + 3263
Step 2: Since the reminder 5770 ≠ 0, we apply division lemma to 3263 and 5770, to get
5770 = 3263 x 1 + 2507
Step 3: We consider the new divisor 3263 and the new remainder 2507, and apply the division lemma to get
3263 = 2507 x 1 + 756
We consider the new divisor 2507 and the new remainder 756,and apply the division lemma to get
2507 = 756 x 3 + 239
We consider the new divisor 756 and the new remainder 239,and apply the division lemma to get
756 = 239 x 3 + 39
We consider the new divisor 239 and the new remainder 39,and apply the division lemma to get
239 = 39 x 6 + 5
We consider the new divisor 39 and the new remainder 5,and apply the division lemma to get
39 = 5 x 7 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9033 and 5770 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(39,5) = HCF(239,39) = HCF(756,239) = HCF(2507,756) = HCF(3263,2507) = HCF(5770,3263) = HCF(9033,5770) .
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Frequently Asked Questions on HCF of 9033, 5770 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 9033, 5770?
Answer: HCF of 9033, 5770 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9033, 5770 using Euclid's Algorithm?
Answer: For arbitrary numbers 9033, 5770 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.