Highest Common Factor of 1433, 6518, 92325 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 1433, 6518, 92325 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1433, 6518, 92325 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 1433, 6518, 92325 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 1433, 6518, 92325 is 1.
HCF(1433, 6518, 92325) = 1
HCF of 1433, 6518, 92325 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1433, 6518, 92325 is 1.
Highest Common Factor of 1433,6518,92325 is 1
Step 1: Since 6518 > 1433, we apply the division lemma to 6518 and 1433, to get
6518 = 1433 x 4 + 786
Step 2: Since the reminder 1433 ≠ 0, we apply division lemma to 786 and 1433, to get
1433 = 786 x 1 + 647
Step 3: We consider the new divisor 786 and the new remainder 647, and apply the division lemma to get
786 = 647 x 1 + 139
We consider the new divisor 647 and the new remainder 139,and apply the division lemma to get
647 = 139 x 4 + 91
We consider the new divisor 139 and the new remainder 91,and apply the division lemma to get
139 = 91 x 1 + 48
We consider the new divisor 91 and the new remainder 48,and apply the division lemma to get
91 = 48 x 1 + 43
We consider the new divisor 48 and the new remainder 43,and apply the division lemma to get
48 = 43 x 1 + 5
We consider the new divisor 43 and the new remainder 5,and apply the division lemma to get
43 = 5 x 8 + 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 1433 and 6518 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(43,5) = HCF(48,43) = HCF(91,48) = HCF(139,91) = HCF(647,139) = HCF(786,647) = HCF(1433,786) = HCF(6518,1433) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 92325 > 1, we apply the division lemma to 92325 and 1, to get
92325 = 1 x 92325 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 92325 is 1
Notice that 1 = HCF(92325,1) .
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Frequently Asked Questions on HCF of 1433, 6518, 92325 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 1433, 6518, 92325?
Answer: HCF of 1433, 6518, 92325 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1433, 6518, 92325 using Euclid's Algorithm?
Answer: For arbitrary numbers 1433, 6518, 92325 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.