Highest Common Factor of 301, 800, 611 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 301, 800, 611 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 301, 800, 611 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 301, 800, 611 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 301, 800, 611 is 1.
HCF(301, 800, 611) = 1
HCF of 301, 800, 611 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 301, 800, 611 is 1.
Highest Common Factor of 301,800,611 is 1
Step 1: Since 800 > 301, we apply the division lemma to 800 and 301, to get
800 = 301 x 2 + 198
Step 2: Since the reminder 301 ≠ 0, we apply division lemma to 198 and 301, to get
301 = 198 x 1 + 103
Step 3: We consider the new divisor 198 and the new remainder 103, and apply the division lemma to get
198 = 103 x 1 + 95
We consider the new divisor 103 and the new remainder 95,and apply the division lemma to get
103 = 95 x 1 + 8
We consider the new divisor 95 and the new remainder 8,and apply the division lemma to get
95 = 8 x 11 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 301 and 800 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(95,8) = HCF(103,95) = HCF(198,103) = HCF(301,198) = HCF(800,301) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 611 > 1, we apply the division lemma to 611 and 1, to get
611 = 1 x 611 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 611 is 1
Notice that 1 = HCF(611,1) .
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Frequently Asked Questions on HCF of 301, 800, 611 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 301, 800, 611?
Answer: HCF of 301, 800, 611 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 301, 800, 611 using Euclid's Algorithm?
Answer: For arbitrary numbers 301, 800, 611 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
