Highest Common Factor of 8038, 3305 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 8038, 3305 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8038, 3305 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 8038, 3305 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 8038, 3305 is 1.
HCF(8038, 3305) = 1
HCF of 8038, 3305 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8038, 3305 is 1.
Highest Common Factor of 8038,3305 is 1
Step 1: Since 8038 > 3305, we apply the division lemma to 8038 and 3305, to get
8038 = 3305 x 2 + 1428
Step 2: Since the reminder 3305 ≠ 0, we apply division lemma to 1428 and 3305, to get
3305 = 1428 x 2 + 449
Step 3: We consider the new divisor 1428 and the new remainder 449, and apply the division lemma to get
1428 = 449 x 3 + 81
We consider the new divisor 449 and the new remainder 81,and apply the division lemma to get
449 = 81 x 5 + 44
We consider the new divisor 81 and the new remainder 44,and apply the division lemma to get
81 = 44 x 1 + 37
We consider the new divisor 44 and the new remainder 37,and apply the division lemma to get
44 = 37 x 1 + 7
We consider the new divisor 37 and the new remainder 7,and apply the division lemma to get
37 = 7 x 5 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8038 and 3305 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(37,7) = HCF(44,37) = HCF(81,44) = HCF(449,81) = HCF(1428,449) = HCF(3305,1428) = HCF(8038,3305) .
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Frequently Asked Questions on HCF of 8038, 3305 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 8038, 3305?
Answer: HCF of 8038, 3305 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8038, 3305 using Euclid's Algorithm?
Answer: For arbitrary numbers 8038, 3305 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.