Highest Common Factor of 433, 18712 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 433, 18712 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 433, 18712 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 433, 18712 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 433, 18712 is 1.
HCF(433, 18712) = 1
HCF of 433, 18712 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 433, 18712 is 1.
Highest Common Factor of 433,18712 is 1
Step 1: Since 18712 > 433, we apply the division lemma to 18712 and 433, to get
18712 = 433 x 43 + 93
Step 2: Since the reminder 433 ≠ 0, we apply division lemma to 93 and 433, to get
433 = 93 x 4 + 61
Step 3: We consider the new divisor 93 and the new remainder 61, and apply the division lemma to get
93 = 61 x 1 + 32
We consider the new divisor 61 and the new remainder 32,and apply the division lemma to get
61 = 32 x 1 + 29
We consider the new divisor 32 and the new remainder 29,and apply the division lemma to get
32 = 29 x 1 + 3
We consider the new divisor 29 and the new remainder 3,and apply the division lemma to get
29 = 3 x 9 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 433 and 18712 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(29,3) = HCF(32,29) = HCF(61,32) = HCF(93,61) = HCF(433,93) = HCF(18712,433) .
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Frequently Asked Questions on HCF of 433, 18712 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 433, 18712?
Answer: HCF of 433, 18712 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 433, 18712 using Euclid's Algorithm?
Answer: For arbitrary numbers 433, 18712 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.