Highest Common Factor of 572, 633, 591, 221 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 572, 633, 591, 221 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 572, 633, 591, 221 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 572, 633, 591, 221 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 572, 633, 591, 221 is 1.
HCF(572, 633, 591, 221) = 1
HCF of 572, 633, 591, 221 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 572, 633, 591, 221 is 1.
Highest Common Factor of 572,633,591,221 is 1
Step 1: Since 633 > 572, we apply the division lemma to 633 and 572, to get
633 = 572 x 1 + 61
Step 2: Since the reminder 572 ≠ 0, we apply division lemma to 61 and 572, to get
572 = 61 x 9 + 23
Step 3: We consider the new divisor 61 and the new remainder 23, and apply the division lemma to get
61 = 23 x 2 + 15
We consider the new divisor 23 and the new remainder 15,and apply the division lemma to get
23 = 15 x 1 + 8
We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get
15 = 8 x 1 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 572 and 633 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(23,15) = HCF(61,23) = HCF(572,61) = HCF(633,572) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 591 > 1, we apply the division lemma to 591 and 1, to get
591 = 1 x 591 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 591 is 1
Notice that 1 = HCF(591,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 221 > 1, we apply the division lemma to 221 and 1, to get
221 = 1 x 221 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 221 is 1
Notice that 1 = HCF(221,1) .
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Frequently Asked Questions on HCF of 572, 633, 591, 221 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 572, 633, 591, 221?
Answer: HCF of 572, 633, 591, 221 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 572, 633, 591, 221 using Euclid's Algorithm?
Answer: For arbitrary numbers 572, 633, 591, 221 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.