Highest Common Factor of 535, 423 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 535, 423 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 535, 423 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 535, 423 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 535, 423 is 1.
HCF(535, 423) = 1
HCF of 535, 423 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 535, 423 is 1.
Highest Common Factor of 535,423 is 1
Step 1: Since 535 > 423, we apply the division lemma to 535 and 423, to get
535 = 423 x 1 + 112
Step 2: Since the reminder 423 ≠ 0, we apply division lemma to 112 and 423, to get
423 = 112 x 3 + 87
Step 3: We consider the new divisor 112 and the new remainder 87, and apply the division lemma to get
112 = 87 x 1 + 25
We consider the new divisor 87 and the new remainder 25,and apply the division lemma to get
87 = 25 x 3 + 12
We consider the new divisor 25 and the new remainder 12,and apply the division lemma to get
25 = 12 x 2 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 535 and 423 is 1
Notice that 1 = HCF(12,1) = HCF(25,12) = HCF(87,25) = HCF(112,87) = HCF(423,112) = HCF(535,423) .
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Frequently Asked Questions on HCF of 535, 423 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 535, 423?
Answer: HCF of 535, 423 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 535, 423 using Euclid's Algorithm?
Answer: For arbitrary numbers 535, 423 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.