Highest Common Factor of 211, 755, 577 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, 755, 577 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 211, 755, 577 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, 755, 577 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, 755, 577 is 1.
HCF(211, 755, 577) = 1
HCF of 211, 755, 577 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, 755, 577 is 1.
Highest Common Factor of 211,755,577 is 1
Step 1: Since 755 > 211, we apply the division lemma to 755 and 211, to get
755 = 211 x 3 + 122
Step 2: Since the reminder 211 ≠ 0, we apply division lemma to 122 and 211, to get
211 = 122 x 1 + 89
Step 3: We consider the new divisor 122 and the new remainder 89, and apply the division lemma to get
122 = 89 x 1 + 33
We consider the new divisor 89 and the new remainder 33,and apply the division lemma to get
89 = 33 x 2 + 23
We consider the new divisor 33 and the new remainder 23,and apply the division lemma to get
33 = 23 x 1 + 10
We consider the new divisor 23 and the new remainder 10,and apply the division lemma to get
23 = 10 x 2 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 211 and 755 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(23,10) = HCF(33,23) = HCF(89,33) = HCF(122,89) = HCF(211,122) = HCF(755,211) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 577 > 1, we apply the division lemma to 577 and 1, to get
577 = 1 x 577 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 577 is 1
Notice that 1 = HCF(577,1) .
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Frequently Asked Questions on HCF of 211, 755, 577 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, 755, 577?
Answer: HCF of 211, 755, 577 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 211, 755, 577 using Euclid's Algorithm?
Answer: For arbitrary numbers 211, 755, 577 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.