Highest Common Factor of 576, 882, 549 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 576, 882, 549 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 576, 882, 549 is 9 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 576, 882, 549 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 576, 882, 549 is 9.
HCF(576, 882, 549) = 9
HCF of 576, 882, 549 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 576, 882, 549 is 9.
Highest Common Factor of 576,882,549 is 9
Step 1: Since 882 > 576, we apply the division lemma to 882 and 576, to get
882 = 576 x 1 + 306
Step 2: Since the reminder 576 ≠ 0, we apply division lemma to 306 and 576, to get
576 = 306 x 1 + 270
Step 3: We consider the new divisor 306 and the new remainder 270, and apply the division lemma to get
306 = 270 x 1 + 36
We consider the new divisor 270 and the new remainder 36,and apply the division lemma to get
270 = 36 x 7 + 18
We consider the new divisor 36 and the new remainder 18,and apply the division lemma to get
36 = 18 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 18, the HCF of 576 and 882 is 18
Notice that 18 = HCF(36,18) = HCF(270,36) = HCF(306,270) = HCF(576,306) = HCF(882,576) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 549 > 18, we apply the division lemma to 549 and 18, to get
549 = 18 x 30 + 9
Step 2: Since the reminder 18 ≠ 0, we apply division lemma to 9 and 18, to get
18 = 9 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 18 and 549 is 9
Notice that 9 = HCF(18,9) = HCF(549,18) .
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Frequently Asked Questions on HCF of 576, 882, 549 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 576, 882, 549?
Answer: HCF of 576, 882, 549 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 576, 882, 549 using Euclid's Algorithm?
Answer: For arbitrary numbers 576, 882, 549 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.