Highest Common Factor of 6933, 4342, 88092 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 6933, 4342, 88092 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6933, 4342, 88092 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 6933, 4342, 88092 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 6933, 4342, 88092 is 1.
HCF(6933, 4342, 88092) = 1
HCF of 6933, 4342, 88092 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6933, 4342, 88092 is 1.
Highest Common Factor of 6933,4342,88092 is 1
Step 1: Since 6933 > 4342, we apply the division lemma to 6933 and 4342, to get
6933 = 4342 x 1 + 2591
Step 2: Since the reminder 4342 ≠ 0, we apply division lemma to 2591 and 4342, to get
4342 = 2591 x 1 + 1751
Step 3: We consider the new divisor 2591 and the new remainder 1751, and apply the division lemma to get
2591 = 1751 x 1 + 840
We consider the new divisor 1751 and the new remainder 840,and apply the division lemma to get
1751 = 840 x 2 + 71
We consider the new divisor 840 and the new remainder 71,and apply the division lemma to get
840 = 71 x 11 + 59
We consider the new divisor 71 and the new remainder 59,and apply the division lemma to get
71 = 59 x 1 + 12
We consider the new divisor 59 and the new remainder 12,and apply the division lemma to get
59 = 12 x 4 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6933 and 4342 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(59,12) = HCF(71,59) = HCF(840,71) = HCF(1751,840) = HCF(2591,1751) = HCF(4342,2591) = HCF(6933,4342) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 88092 > 1, we apply the division lemma to 88092 and 1, to get
88092 = 1 x 88092 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 88092 is 1
Notice that 1 = HCF(88092,1) .
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Frequently Asked Questions on HCF of 6933, 4342, 88092 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 6933, 4342, 88092?
Answer: HCF of 6933, 4342, 88092 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6933, 4342, 88092 using Euclid's Algorithm?
Answer: For arbitrary numbers 6933, 4342, 88092 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.