Highest Common Factor of 574, 5391 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 574, 5391 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 574, 5391 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 574, 5391 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 574, 5391 is 1.
HCF(574, 5391) = 1
HCF of 574, 5391 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 574, 5391 is 1.
Highest Common Factor of 574,5391 is 1
Step 1: Since 5391 > 574, we apply the division lemma to 5391 and 574, to get
5391 = 574 x 9 + 225
Step 2: Since the reminder 574 ≠ 0, we apply division lemma to 225 and 574, to get
574 = 225 x 2 + 124
Step 3: We consider the new divisor 225 and the new remainder 124, and apply the division lemma to get
225 = 124 x 1 + 101
We consider the new divisor 124 and the new remainder 101,and apply the division lemma to get
124 = 101 x 1 + 23
We consider the new divisor 101 and the new remainder 23,and apply the division lemma to get
101 = 23 x 4 + 9
We consider the new divisor 23 and the new remainder 9,and apply the division lemma to get
23 = 9 x 2 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 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 574 and 5391 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(23,9) = HCF(101,23) = HCF(124,101) = HCF(225,124) = HCF(574,225) = HCF(5391,574) .
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Frequently Asked Questions on HCF of 574, 5391 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 574, 5391?
Answer: HCF of 574, 5391 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 574, 5391 using Euclid's Algorithm?
Answer: For arbitrary numbers 574, 5391 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
