Highest Common Factor of 211, 747 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 211, 747 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 211, 747 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 211, 747 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 211, 747 is 1.
HCF(211, 747) = 1
HCF of 211, 747 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 211, 747 is 1.
Highest Common Factor of 211,747 is 1
Step 1: Since 747 > 211, we apply the division lemma to 747 and 211, to get
747 = 211 x 3 + 114
Step 2: Since the reminder 211 ≠ 0, we apply division lemma to 114 and 211, to get
211 = 114 x 1 + 97
Step 3: We consider the new divisor 114 and the new remainder 97, and apply the division lemma to get
114 = 97 x 1 + 17
We consider the new divisor 97 and the new remainder 17,and apply the division lemma to get
97 = 17 x 5 + 12
We consider the new divisor 17 and the new remainder 12,and apply the division lemma to get
17 = 12 x 1 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 211 and 747 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(17,12) = HCF(97,17) = HCF(114,97) = HCF(211,114) = HCF(747,211) .
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Frequently Asked Questions on HCF of 211, 747 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 211, 747?
Answer: HCF of 211, 747 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 211, 747 using Euclid's Algorithm?
Answer: For arbitrary numbers 211, 747 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.