Highest Common Factor of 8105, 4392 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 8105, 4392 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8105, 4392 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 8105, 4392 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 8105, 4392 is 1.
HCF(8105, 4392) = 1
HCF of 8105, 4392 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8105, 4392 is 1.
Highest Common Factor of 8105,4392 is 1
Step 1: Since 8105 > 4392, we apply the division lemma to 8105 and 4392, to get
8105 = 4392 x 1 + 3713
Step 2: Since the reminder 4392 ≠ 0, we apply division lemma to 3713 and 4392, to get
4392 = 3713 x 1 + 679
Step 3: We consider the new divisor 3713 and the new remainder 679, and apply the division lemma to get
3713 = 679 x 5 + 318
We consider the new divisor 679 and the new remainder 318,and apply the division lemma to get
679 = 318 x 2 + 43
We consider the new divisor 318 and the new remainder 43,and apply the division lemma to get
318 = 43 x 7 + 17
We consider the new divisor 43 and the new remainder 17,and apply the division lemma to get
43 = 17 x 2 + 9
We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get
17 = 9 x 1 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8105 and 4392 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(43,17) = HCF(318,43) = HCF(679,318) = HCF(3713,679) = HCF(4392,3713) = HCF(8105,4392) .
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Frequently Asked Questions on HCF of 8105, 4392 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 8105, 4392?
Answer: HCF of 8105, 4392 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8105, 4392 using Euclid's Algorithm?
Answer: For arbitrary numbers 8105, 4392 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.