Highest Common Factor of 8394, 4485 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 8394, 4485 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8394, 4485 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 8394, 4485 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 8394, 4485 is 3.
HCF(8394, 4485) = 3
HCF of 8394, 4485 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8394, 4485 is 3.
Highest Common Factor of 8394,4485 is 3
Step 1: Since 8394 > 4485, we apply the division lemma to 8394 and 4485, to get
8394 = 4485 x 1 + 3909
Step 2: Since the reminder 4485 ≠ 0, we apply division lemma to 3909 and 4485, to get
4485 = 3909 x 1 + 576
Step 3: We consider the new divisor 3909 and the new remainder 576, and apply the division lemma to get
3909 = 576 x 6 + 453
We consider the new divisor 576 and the new remainder 453,and apply the division lemma to get
576 = 453 x 1 + 123
We consider the new divisor 453 and the new remainder 123,and apply the division lemma to get
453 = 123 x 3 + 84
We consider the new divisor 123 and the new remainder 84,and apply the division lemma to get
123 = 84 x 1 + 39
We consider the new divisor 84 and the new remainder 39,and apply the division lemma to get
84 = 39 x 2 + 6
We consider the new divisor 39 and the new remainder 6,and apply the division lemma to get
39 = 6 x 6 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8394 and 4485 is 3
Notice that 3 = HCF(6,3) = HCF(39,6) = HCF(84,39) = HCF(123,84) = HCF(453,123) = HCF(576,453) = HCF(3909,576) = HCF(4485,3909) = HCF(8394,4485) .
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Frequently Asked Questions on HCF of 8394, 4485 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 8394, 4485?
Answer: HCF of 8394, 4485 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8394, 4485 using Euclid's Algorithm?
Answer: For arbitrary numbers 8394, 4485 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.