Highest Common Factor of 211, 683, 830, 29 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, 683, 830, 29 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 211, 683, 830, 29 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, 683, 830, 29 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, 683, 830, 29 is 1.
HCF(211, 683, 830, 29) = 1
HCF of 211, 683, 830, 29 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, 683, 830, 29 is 1.
Highest Common Factor of 211,683,830,29 is 1
Step 1: Since 683 > 211, we apply the division lemma to 683 and 211, to get
683 = 211 x 3 + 50
Step 2: Since the reminder 211 ≠ 0, we apply division lemma to 50 and 211, to get
211 = 50 x 4 + 11
Step 3: We consider the new divisor 50 and the new remainder 11, and apply the division lemma to get
50 = 11 x 4 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 211 and 683 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(50,11) = HCF(211,50) = HCF(683,211) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 830 > 1, we apply the division lemma to 830 and 1, to get
830 = 1 x 830 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 830 is 1
Notice that 1 = HCF(830,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 29 > 1, we apply the division lemma to 29 and 1, to get
29 = 1 x 29 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 29 is 1
Notice that 1 = HCF(29,1) .
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Frequently Asked Questions on HCF of 211, 683, 830, 29 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, 683, 830, 29?
Answer: HCF of 211, 683, 830, 29 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 211, 683, 830, 29 using Euclid's Algorithm?
Answer: For arbitrary numbers 211, 683, 830, 29 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.