Highest Common Factor of 3153, 5999 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 3153, 5999 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3153, 5999 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 3153, 5999 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 3153, 5999 is 1.
HCF(3153, 5999) = 1
HCF of 3153, 5999 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3153, 5999 is 1.
Highest Common Factor of 3153,5999 is 1
Step 1: Since 5999 > 3153, we apply the division lemma to 5999 and 3153, to get
5999 = 3153 x 1 + 2846
Step 2: Since the reminder 3153 ≠ 0, we apply division lemma to 2846 and 3153, to get
3153 = 2846 x 1 + 307
Step 3: We consider the new divisor 2846 and the new remainder 307, and apply the division lemma to get
2846 = 307 x 9 + 83
We consider the new divisor 307 and the new remainder 83,and apply the division lemma to get
307 = 83 x 3 + 58
We consider the new divisor 83 and the new remainder 58,and apply the division lemma to get
83 = 58 x 1 + 25
We consider the new divisor 58 and the new remainder 25,and apply the division lemma to get
58 = 25 x 2 + 8
We consider the new divisor 25 and the new remainder 8,and apply the division lemma to get
25 = 8 x 3 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3153 and 5999 is 1
Notice that 1 = HCF(8,1) = HCF(25,8) = HCF(58,25) = HCF(83,58) = HCF(307,83) = HCF(2846,307) = HCF(3153,2846) = HCF(5999,3153) .
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Frequently Asked Questions on HCF of 3153, 5999 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 3153, 5999?
Answer: HCF of 3153, 5999 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3153, 5999 using Euclid's Algorithm?
Answer: For arbitrary numbers 3153, 5999 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.