Highest Common Factor of 469, 91233 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 469, 91233 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 469, 91233 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 469, 91233 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 469, 91233 is 1.
HCF(469, 91233) = 1
HCF of 469, 91233 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 469, 91233 is 1.
Highest Common Factor of 469,91233 is 1
Step 1: Since 91233 > 469, we apply the division lemma to 91233 and 469, to get
91233 = 469 x 194 + 247
Step 2: Since the reminder 469 ≠ 0, we apply division lemma to 247 and 469, to get
469 = 247 x 1 + 222
Step 3: We consider the new divisor 247 and the new remainder 222, and apply the division lemma to get
247 = 222 x 1 + 25
We consider the new divisor 222 and the new remainder 25,and apply the division lemma to get
222 = 25 x 8 + 22
We consider the new divisor 25 and the new remainder 22,and apply the division lemma to get
25 = 22 x 1 + 3
We consider the new divisor 22 and the new remainder 3,and apply the division lemma to get
22 = 3 x 7 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 469 and 91233 is 1
Notice that 1 = HCF(3,1) = HCF(22,3) = HCF(25,22) = HCF(222,25) = HCF(247,222) = HCF(469,247) = HCF(91233,469) .
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Frequently Asked Questions on HCF of 469, 91233 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 469, 91233?
Answer: HCF of 469, 91233 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 469, 91233 using Euclid's Algorithm?
Answer: For arbitrary numbers 469, 91233 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
