Highest Common Factor of 4133, 6731 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 4133, 6731 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4133, 6731 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 4133, 6731 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 4133, 6731 is 1.
HCF(4133, 6731) = 1
HCF of 4133, 6731 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4133, 6731 is 1.
Highest Common Factor of 4133,6731 is 1
Step 1: Since 6731 > 4133, we apply the division lemma to 6731 and 4133, to get
6731 = 4133 x 1 + 2598
Step 2: Since the reminder 4133 ≠ 0, we apply division lemma to 2598 and 4133, to get
4133 = 2598 x 1 + 1535
Step 3: We consider the new divisor 2598 and the new remainder 1535, and apply the division lemma to get
2598 = 1535 x 1 + 1063
We consider the new divisor 1535 and the new remainder 1063,and apply the division lemma to get
1535 = 1063 x 1 + 472
We consider the new divisor 1063 and the new remainder 472,and apply the division lemma to get
1063 = 472 x 2 + 119
We consider the new divisor 472 and the new remainder 119,and apply the division lemma to get
472 = 119 x 3 + 115
We consider the new divisor 119 and the new remainder 115,and apply the division lemma to get
119 = 115 x 1 + 4
We consider the new divisor 115 and the new remainder 4,and apply the division lemma to get
115 = 4 x 28 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4133 and 6731 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(115,4) = HCF(119,115) = HCF(472,119) = HCF(1063,472) = HCF(1535,1063) = HCF(2598,1535) = HCF(4133,2598) = HCF(6731,4133) .
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Frequently Asked Questions on HCF of 4133, 6731 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 4133, 6731?
Answer: HCF of 4133, 6731 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4133, 6731 using Euclid's Algorithm?
Answer: For arbitrary numbers 4133, 6731 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.