Highest Common Factor of 5346, 4393 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 5346, 4393 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5346, 4393 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 5346, 4393 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 5346, 4393 is 1.
HCF(5346, 4393) = 1
HCF of 5346, 4393 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5346, 4393 is 1.
Highest Common Factor of 5346,4393 is 1
Step 1: Since 5346 > 4393, we apply the division lemma to 5346 and 4393, to get
5346 = 4393 x 1 + 953
Step 2: Since the reminder 4393 ≠ 0, we apply division lemma to 953 and 4393, to get
4393 = 953 x 4 + 581
Step 3: We consider the new divisor 953 and the new remainder 581, and apply the division lemma to get
953 = 581 x 1 + 372
We consider the new divisor 581 and the new remainder 372,and apply the division lemma to get
581 = 372 x 1 + 209
We consider the new divisor 372 and the new remainder 209,and apply the division lemma to get
372 = 209 x 1 + 163
We consider the new divisor 209 and the new remainder 163,and apply the division lemma to get
209 = 163 x 1 + 46
We consider the new divisor 163 and the new remainder 46,and apply the division lemma to get
163 = 46 x 3 + 25
We consider the new divisor 46 and the new remainder 25,and apply the division lemma to get
46 = 25 x 1 + 21
We consider the new divisor 25 and the new remainder 21,and apply the division lemma to get
25 = 21 x 1 + 4
We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get
21 = 4 x 5 + 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 5346 and 4393 is 1
Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(25,21) = HCF(46,25) = HCF(163,46) = HCF(209,163) = HCF(372,209) = HCF(581,372) = HCF(953,581) = HCF(4393,953) = HCF(5346,4393) .
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Frequently Asked Questions on HCF of 5346, 4393 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 5346, 4393?
Answer: HCF of 5346, 4393 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5346, 4393 using Euclid's Algorithm?
Answer: For arbitrary numbers 5346, 4393 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.