Highest Common Factor of 216, 547 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 216, 547 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 216, 547 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 216, 547 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 216, 547 is 1.
HCF(216, 547) = 1
HCF of 216, 547 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 216, 547 is 1.
Highest Common Factor of 216,547 is 1
Step 1: Since 547 > 216, we apply the division lemma to 547 and 216, to get
547 = 216 x 2 + 115
Step 2: Since the reminder 216 ≠ 0, we apply division lemma to 115 and 216, to get
216 = 115 x 1 + 101
Step 3: We consider the new divisor 115 and the new remainder 101, and apply the division lemma to get
115 = 101 x 1 + 14
We consider the new divisor 101 and the new remainder 14,and apply the division lemma to get
101 = 14 x 7 + 3
We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get
14 = 3 x 4 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 216 and 547 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(101,14) = HCF(115,101) = HCF(216,115) = HCF(547,216) .
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Frequently Asked Questions on HCF of 216, 547 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 216, 547?
Answer: HCF of 216, 547 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 216, 547 using Euclid's Algorithm?
Answer: For arbitrary numbers 216, 547 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.