Highest Common Factor of 6331, 3567 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 6331, 3567 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6331, 3567 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 6331, 3567 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 6331, 3567 is 1.
HCF(6331, 3567) = 1
HCF of 6331, 3567 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6331, 3567 is 1.
Highest Common Factor of 6331,3567 is 1
Step 1: Since 6331 > 3567, we apply the division lemma to 6331 and 3567, to get
6331 = 3567 x 1 + 2764
Step 2: Since the reminder 3567 ≠ 0, we apply division lemma to 2764 and 3567, to get
3567 = 2764 x 1 + 803
Step 3: We consider the new divisor 2764 and the new remainder 803, and apply the division lemma to get
2764 = 803 x 3 + 355
We consider the new divisor 803 and the new remainder 355,and apply the division lemma to get
803 = 355 x 2 + 93
We consider the new divisor 355 and the new remainder 93,and apply the division lemma to get
355 = 93 x 3 + 76
We consider the new divisor 93 and the new remainder 76,and apply the division lemma to get
93 = 76 x 1 + 17
We consider the new divisor 76 and the new remainder 17,and apply the division lemma to get
76 = 17 x 4 + 8
We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get
17 = 8 x 2 + 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 6331 and 3567 is 1
Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(76,17) = HCF(93,76) = HCF(355,93) = HCF(803,355) = HCF(2764,803) = HCF(3567,2764) = HCF(6331,3567) .
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Frequently Asked Questions on HCF of 6331, 3567 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 6331, 3567?
Answer: HCF of 6331, 3567 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6331, 3567 using Euclid's Algorithm?
Answer: For arbitrary numbers 6331, 3567 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
