Highest Common Factor of 8516, 3334 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 8516, 3334 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8516, 3334 is 2 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 8516, 3334 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 8516, 3334 is 2.
HCF(8516, 3334) = 2
HCF of 8516, 3334 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8516, 3334 is 2.
Highest Common Factor of 8516,3334 is 2
Step 1: Since 8516 > 3334, we apply the division lemma to 8516 and 3334, to get
8516 = 3334 x 2 + 1848
Step 2: Since the reminder 3334 ≠ 0, we apply division lemma to 1848 and 3334, to get
3334 = 1848 x 1 + 1486
Step 3: We consider the new divisor 1848 and the new remainder 1486, and apply the division lemma to get
1848 = 1486 x 1 + 362
We consider the new divisor 1486 and the new remainder 362,and apply the division lemma to get
1486 = 362 x 4 + 38
We consider the new divisor 362 and the new remainder 38,and apply the division lemma to get
362 = 38 x 9 + 20
We consider the new divisor 38 and the new remainder 20,and apply the division lemma to get
38 = 20 x 1 + 18
We consider the new divisor 20 and the new remainder 18,and apply the division lemma to get
20 = 18 x 1 + 2
We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8516 and 3334 is 2
Notice that 2 = HCF(18,2) = HCF(20,18) = HCF(38,20) = HCF(362,38) = HCF(1486,362) = HCF(1848,1486) = HCF(3334,1848) = HCF(8516,3334) .
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Frequently Asked Questions on HCF of 8516, 3334 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 8516, 3334?
Answer: HCF of 8516, 3334 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8516, 3334 using Euclid's Algorithm?
Answer: For arbitrary numbers 8516, 3334 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.