Highest Common Factor of 6151, 3983 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 6151, 3983 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6151, 3983 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 6151, 3983 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 6151, 3983 is 1.
HCF(6151, 3983) = 1
HCF of 6151, 3983 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6151, 3983 is 1.
Highest Common Factor of 6151,3983 is 1
Step 1: Since 6151 > 3983, we apply the division lemma to 6151 and 3983, to get
6151 = 3983 x 1 + 2168
Step 2: Since the reminder 3983 ≠ 0, we apply division lemma to 2168 and 3983, to get
3983 = 2168 x 1 + 1815
Step 3: We consider the new divisor 2168 and the new remainder 1815, and apply the division lemma to get
2168 = 1815 x 1 + 353
We consider the new divisor 1815 and the new remainder 353,and apply the division lemma to get
1815 = 353 x 5 + 50
We consider the new divisor 353 and the new remainder 50,and apply the division lemma to get
353 = 50 x 7 + 3
We consider the new divisor 50 and the new remainder 3,and apply the division lemma to get
50 = 3 x 16 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 6151 and 3983 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(50,3) = HCF(353,50) = HCF(1815,353) = HCF(2168,1815) = HCF(3983,2168) = HCF(6151,3983) .
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Frequently Asked Questions on HCF of 6151, 3983 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 6151, 3983?
Answer: HCF of 6151, 3983 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6151, 3983 using Euclid's Algorithm?
Answer: For arbitrary numbers 6151, 3983 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
