Highest Common Factor of 1602, 9229 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 1602, 9229 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1602, 9229 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 1602, 9229 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 1602, 9229 is 1.
HCF(1602, 9229) = 1
HCF of 1602, 9229 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1602, 9229 is 1.
Highest Common Factor of 1602,9229 is 1
Step 1: Since 9229 > 1602, we apply the division lemma to 9229 and 1602, to get
9229 = 1602 x 5 + 1219
Step 2: Since the reminder 1602 ≠ 0, we apply division lemma to 1219 and 1602, to get
1602 = 1219 x 1 + 383
Step 3: We consider the new divisor 1219 and the new remainder 383, and apply the division lemma to get
1219 = 383 x 3 + 70
We consider the new divisor 383 and the new remainder 70,and apply the division lemma to get
383 = 70 x 5 + 33
We consider the new divisor 70 and the new remainder 33,and apply the division lemma to get
70 = 33 x 2 + 4
We consider the new divisor 33 and the new remainder 4,and apply the division lemma to get
33 = 4 x 8 + 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 1602 and 9229 is 1
Notice that 1 = HCF(4,1) = HCF(33,4) = HCF(70,33) = HCF(383,70) = HCF(1219,383) = HCF(1602,1219) = HCF(9229,1602) .
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Frequently Asked Questions on HCF of 1602, 9229 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 1602, 9229?
Answer: HCF of 1602, 9229 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1602, 9229 using Euclid's Algorithm?
Answer: For arbitrary numbers 1602, 9229 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.