Highest Common Factor of 5133, 3324, 99930 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 5133, 3324, 99930 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5133, 3324, 99930 is 3 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 5133, 3324, 99930 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 5133, 3324, 99930 is 3.
HCF(5133, 3324, 99930) = 3
HCF of 5133, 3324, 99930 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5133, 3324, 99930 is 3.
Highest Common Factor of 5133,3324,99930 is 3
Step 1: Since 5133 > 3324, we apply the division lemma to 5133 and 3324, to get
5133 = 3324 x 1 + 1809
Step 2: Since the reminder 3324 ≠ 0, we apply division lemma to 1809 and 3324, to get
3324 = 1809 x 1 + 1515
Step 3: We consider the new divisor 1809 and the new remainder 1515, and apply the division lemma to get
1809 = 1515 x 1 + 294
We consider the new divisor 1515 and the new remainder 294,and apply the division lemma to get
1515 = 294 x 5 + 45
We consider the new divisor 294 and the new remainder 45,and apply the division lemma to get
294 = 45 x 6 + 24
We consider the new divisor 45 and the new remainder 24,and apply the division lemma to get
45 = 24 x 1 + 21
We consider the new divisor 24 and the new remainder 21,and apply the division lemma to get
24 = 21 x 1 + 3
We consider the new divisor 21 and the new remainder 3,and apply the division lemma to get
21 = 3 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5133 and 3324 is 3
Notice that 3 = HCF(21,3) = HCF(24,21) = HCF(45,24) = HCF(294,45) = HCF(1515,294) = HCF(1809,1515) = HCF(3324,1809) = HCF(5133,3324) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 99930 > 3, we apply the division lemma to 99930 and 3, to get
99930 = 3 x 33310 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 99930 is 3
Notice that 3 = HCF(99930,3) .
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Frequently Asked Questions on HCF of 5133, 3324, 99930 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 5133, 3324, 99930?
Answer: HCF of 5133, 3324, 99930 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5133, 3324, 99930 using Euclid's Algorithm?
Answer: For arbitrary numbers 5133, 3324, 99930 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.