Highest Common Factor of 755, 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 755, 423 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 755, 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 755, 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 755, 423 is 1.
HCF(755, 423) = 1
HCF of 755, 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 755, 423 is 1.
Highest Common Factor of 755,423 is 1
Step 1: Since 755 > 423, we apply the division lemma to 755 and 423, to get
755 = 423 x 1 + 332
Step 2: Since the reminder 423 ≠ 0, we apply division lemma to 332 and 423, to get
423 = 332 x 1 + 91
Step 3: We consider the new divisor 332 and the new remainder 91, and apply the division lemma to get
332 = 91 x 3 + 59
We consider the new divisor 91 and the new remainder 59,and apply the division lemma to get
91 = 59 x 1 + 32
We consider the new divisor 59 and the new remainder 32,and apply the division lemma to get
59 = 32 x 1 + 27
We consider the new divisor 32 and the new remainder 27,and apply the division lemma to get
32 = 27 x 1 + 5
We consider the new divisor 27 and the new remainder 5,and apply the division lemma to get
27 = 5 x 5 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 755 and 423 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(27,5) = HCF(32,27) = HCF(59,32) = HCF(91,59) = HCF(332,91) = HCF(423,332) = HCF(755,423) .
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Frequently Asked Questions on HCF of 755, 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 755, 423?
Answer: HCF of 755, 423 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 755, 423 using Euclid's Algorithm?
Answer: For arbitrary numbers 755, 423 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.