Highest Common Factor of 8599, 3423 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 8599, 3423 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8599, 3423 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 8599, 3423 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 8599, 3423 is 1.
HCF(8599, 3423) = 1
HCF of 8599, 3423 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8599, 3423 is 1.
Highest Common Factor of 8599,3423 is 1
Step 1: Since 8599 > 3423, we apply the division lemma to 8599 and 3423, to get
8599 = 3423 x 2 + 1753
Step 2: Since the reminder 3423 ≠ 0, we apply division lemma to 1753 and 3423, to get
3423 = 1753 x 1 + 1670
Step 3: We consider the new divisor 1753 and the new remainder 1670, and apply the division lemma to get
1753 = 1670 x 1 + 83
We consider the new divisor 1670 and the new remainder 83,and apply the division lemma to get
1670 = 83 x 20 + 10
We consider the new divisor 83 and the new remainder 10,and apply the division lemma to get
83 = 10 x 8 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8599 and 3423 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(83,10) = HCF(1670,83) = HCF(1753,1670) = HCF(3423,1753) = HCF(8599,3423) .
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Frequently Asked Questions on HCF of 8599, 3423 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 8599, 3423?
Answer: HCF of 8599, 3423 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8599, 3423 using Euclid's Algorithm?
Answer: For arbitrary numbers 8599, 3423 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.