Highest Common Factor of 3358, 8567 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 3358, 8567 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3358, 8567 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 3358, 8567 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 3358, 8567 is 1.
HCF(3358, 8567) = 1
HCF of 3358, 8567 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3358, 8567 is 1.
Highest Common Factor of 3358,8567 is 1
Step 1: Since 8567 > 3358, we apply the division lemma to 8567 and 3358, to get
8567 = 3358 x 2 + 1851
Step 2: Since the reminder 3358 ≠ 0, we apply division lemma to 1851 and 3358, to get
3358 = 1851 x 1 + 1507
Step 3: We consider the new divisor 1851 and the new remainder 1507, and apply the division lemma to get
1851 = 1507 x 1 + 344
We consider the new divisor 1507 and the new remainder 344,and apply the division lemma to get
1507 = 344 x 4 + 131
We consider the new divisor 344 and the new remainder 131,and apply the division lemma to get
344 = 131 x 2 + 82
We consider the new divisor 131 and the new remainder 82,and apply the division lemma to get
131 = 82 x 1 + 49
We consider the new divisor 82 and the new remainder 49,and apply the division lemma to get
82 = 49 x 1 + 33
We consider the new divisor 49 and the new remainder 33,and apply the division lemma to get
49 = 33 x 1 + 16
We consider the new divisor 33 and the new remainder 16,and apply the division lemma to get
33 = 16 x 2 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3358 and 8567 is 1
Notice that 1 = HCF(16,1) = HCF(33,16) = HCF(49,33) = HCF(82,49) = HCF(131,82) = HCF(344,131) = HCF(1507,344) = HCF(1851,1507) = HCF(3358,1851) = HCF(8567,3358) .
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Frequently Asked Questions on HCF of 3358, 8567 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 3358, 8567?
Answer: HCF of 3358, 8567 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3358, 8567 using Euclid's Algorithm?
Answer: For arbitrary numbers 3358, 8567 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.