Highest Common Factor of 3253, 6446, 93093 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 3253, 6446, 93093 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3253, 6446, 93093 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 3253, 6446, 93093 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 3253, 6446, 93093 is 1.
HCF(3253, 6446, 93093) = 1
HCF of 3253, 6446, 93093 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3253, 6446, 93093 is 1.
Highest Common Factor of 3253,6446,93093 is 1
Step 1: Since 6446 > 3253, we apply the division lemma to 6446 and 3253, to get
6446 = 3253 x 1 + 3193
Step 2: Since the reminder 3253 ≠ 0, we apply division lemma to 3193 and 3253, to get
3253 = 3193 x 1 + 60
Step 3: We consider the new divisor 3193 and the new remainder 60, and apply the division lemma to get
3193 = 60 x 53 + 13
We consider the new divisor 60 and the new remainder 13,and apply the division lemma to get
60 = 13 x 4 + 8
We consider the new divisor 13 and the new remainder 8,and apply the division lemma to get
13 = 8 x 1 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 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 3253 and 6446 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(60,13) = HCF(3193,60) = HCF(3253,3193) = HCF(6446,3253) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 93093 > 1, we apply the division lemma to 93093 and 1, to get
93093 = 1 x 93093 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 93093 is 1
Notice that 1 = HCF(93093,1) .
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Frequently Asked Questions on HCF of 3253, 6446, 93093 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 3253, 6446, 93093?
Answer: HCF of 3253, 6446, 93093 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3253, 6446, 93093 using Euclid's Algorithm?
Answer: For arbitrary numbers 3253, 6446, 93093 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
