Highest Common Factor of 4133, 7544, 66500 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, 7544, 66500 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4133, 7544, 66500 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, 7544, 66500 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, 7544, 66500 is 1.
HCF(4133, 7544, 66500) = 1
HCF of 4133, 7544, 66500 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, 7544, 66500 is 1.
Highest Common Factor of 4133,7544,66500 is 1
Step 1: Since 7544 > 4133, we apply the division lemma to 7544 and 4133, to get
7544 = 4133 x 1 + 3411
Step 2: Since the reminder 4133 ≠ 0, we apply division lemma to 3411 and 4133, to get
4133 = 3411 x 1 + 722
Step 3: We consider the new divisor 3411 and the new remainder 722, and apply the division lemma to get
3411 = 722 x 4 + 523
We consider the new divisor 722 and the new remainder 523,and apply the division lemma to get
722 = 523 x 1 + 199
We consider the new divisor 523 and the new remainder 199,and apply the division lemma to get
523 = 199 x 2 + 125
We consider the new divisor 199 and the new remainder 125,and apply the division lemma to get
199 = 125 x 1 + 74
We consider the new divisor 125 and the new remainder 74,and apply the division lemma to get
125 = 74 x 1 + 51
We consider the new divisor 74 and the new remainder 51,and apply the division lemma to get
74 = 51 x 1 + 23
We consider the new divisor 51 and the new remainder 23,and apply the division lemma to get
51 = 23 x 2 + 5
We consider the new divisor 23 and the new remainder 5,and apply the division lemma to get
23 = 5 x 4 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 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 4133 and 7544 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(23,5) = HCF(51,23) = HCF(74,51) = HCF(125,74) = HCF(199,125) = HCF(523,199) = HCF(722,523) = HCF(3411,722) = HCF(4133,3411) = HCF(7544,4133) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 66500 > 1, we apply the division lemma to 66500 and 1, to get
66500 = 1 x 66500 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 66500 is 1
Notice that 1 = HCF(66500,1) .
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Frequently Asked Questions on HCF of 4133, 7544, 66500 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, 7544, 66500?
Answer: HCF of 4133, 7544, 66500 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4133, 7544, 66500 using Euclid's Algorithm?
Answer: For arbitrary numbers 4133, 7544, 66500 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.