Highest Common Factor of 607, 538, 211 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 607, 538, 211 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 607, 538, 211 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 607, 538, 211 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 607, 538, 211 is 1.
HCF(607, 538, 211) = 1
HCF of 607, 538, 211 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 607, 538, 211 is 1.
Highest Common Factor of 607,538,211 is 1
Step 1: Since 607 > 538, we apply the division lemma to 607 and 538, to get
607 = 538 x 1 + 69
Step 2: Since the reminder 538 ≠ 0, we apply division lemma to 69 and 538, to get
538 = 69 x 7 + 55
Step 3: We consider the new divisor 69 and the new remainder 55, and apply the division lemma to get
69 = 55 x 1 + 14
We consider the new divisor 55 and the new remainder 14,and apply the division lemma to get
55 = 14 x 3 + 13
We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get
14 = 13 x 1 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 607 and 538 is 1
Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(55,14) = HCF(69,55) = HCF(538,69) = HCF(607,538) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 211 > 1, we apply the division lemma to 211 and 1, to get
211 = 1 x 211 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 211 is 1
Notice that 1 = HCF(211,1) .
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Frequently Asked Questions on HCF of 607, 538, 211 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 607, 538, 211?
Answer: HCF of 607, 538, 211 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 607, 538, 211 using Euclid's Algorithm?
Answer: For arbitrary numbers 607, 538, 211 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.