Highest Common Factor of 5411, 572 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 5411, 572 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5411, 572 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 5411, 572 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 5411, 572 is 1.
HCF(5411, 572) = 1
HCF of 5411, 572 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5411, 572 is 1.
Highest Common Factor of 5411,572 is 1
Step 1: Since 5411 > 572, we apply the division lemma to 5411 and 572, to get
5411 = 572 x 9 + 263
Step 2: Since the reminder 572 ≠ 0, we apply division lemma to 263 and 572, to get
572 = 263 x 2 + 46
Step 3: We consider the new divisor 263 and the new remainder 46, and apply the division lemma to get
263 = 46 x 5 + 33
We consider the new divisor 46 and the new remainder 33,and apply the division lemma to get
46 = 33 x 1 + 13
We consider the new divisor 33 and the new remainder 13,and apply the division lemma to get
33 = 13 x 2 + 7
We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get
13 = 7 x 1 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5411 and 572 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(33,13) = HCF(46,33) = HCF(263,46) = HCF(572,263) = HCF(5411,572) .
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Frequently Asked Questions on HCF of 5411, 572 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 5411, 572?
Answer: HCF of 5411, 572 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5411, 572 using Euclid's Algorithm?
Answer: For arbitrary numbers 5411, 572 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.