Highest Common Factor of 3325, 6038 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 3325, 6038 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3325, 6038 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 3325, 6038 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 3325, 6038 is 1.
HCF(3325, 6038) = 1
HCF of 3325, 6038 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3325, 6038 is 1.
Highest Common Factor of 3325,6038 is 1
Step 1: Since 6038 > 3325, we apply the division lemma to 6038 and 3325, to get
6038 = 3325 x 1 + 2713
Step 2: Since the reminder 3325 ≠ 0, we apply division lemma to 2713 and 3325, to get
3325 = 2713 x 1 + 612
Step 3: We consider the new divisor 2713 and the new remainder 612, and apply the division lemma to get
2713 = 612 x 4 + 265
We consider the new divisor 612 and the new remainder 265,and apply the division lemma to get
612 = 265 x 2 + 82
We consider the new divisor 265 and the new remainder 82,and apply the division lemma to get
265 = 82 x 3 + 19
We consider the new divisor 82 and the new remainder 19,and apply the division lemma to get
82 = 19 x 4 + 6
We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get
19 = 6 x 3 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3325 and 6038 is 1
Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(82,19) = HCF(265,82) = HCF(612,265) = HCF(2713,612) = HCF(3325,2713) = HCF(6038,3325) .
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Frequently Asked Questions on HCF of 3325, 6038 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 3325, 6038?
Answer: HCF of 3325, 6038 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3325, 6038 using Euclid's Algorithm?
Answer: For arbitrary numbers 3325, 6038 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.