Highest Common Factor of 9022, 1635 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 9022, 1635 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9022, 1635 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 9022, 1635 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 9022, 1635 is 1.
HCF(9022, 1635) = 1
HCF of 9022, 1635 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9022, 1635 is 1.
Highest Common Factor of 9022,1635 is 1
Step 1: Since 9022 > 1635, we apply the division lemma to 9022 and 1635, to get
9022 = 1635 x 5 + 847
Step 2: Since the reminder 1635 ≠ 0, we apply division lemma to 847 and 1635, to get
1635 = 847 x 1 + 788
Step 3: We consider the new divisor 847 and the new remainder 788, and apply the division lemma to get
847 = 788 x 1 + 59
We consider the new divisor 788 and the new remainder 59,and apply the division lemma to get
788 = 59 x 13 + 21
We consider the new divisor 59 and the new remainder 21,and apply the division lemma to get
59 = 21 x 2 + 17
We consider the new divisor 21 and the new remainder 17,and apply the division lemma to get
21 = 17 x 1 + 4
We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get
17 = 4 x 4 + 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 9022 and 1635 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(21,17) = HCF(59,21) = HCF(788,59) = HCF(847,788) = HCF(1635,847) = HCF(9022,1635) .
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Frequently Asked Questions on HCF of 9022, 1635 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 9022, 1635?
Answer: HCF of 9022, 1635 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9022, 1635 using Euclid's Algorithm?
Answer: For arbitrary numbers 9022, 1635 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
