Highest Common Factor of 3034, 1886 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 3034, 1886 i.e. 82 the largest integer that leaves a remainder zero for all numbers.
HCF of 3034, 1886 is 82 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 3034, 1886 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 3034, 1886 is 82.
HCF(3034, 1886) = 82
HCF of 3034, 1886 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3034, 1886 is 82.
Highest Common Factor of 3034,1886 is 82
Step 1: Since 3034 > 1886, we apply the division lemma to 3034 and 1886, to get
3034 = 1886 x 1 + 1148
Step 2: Since the reminder 1886 ≠ 0, we apply division lemma to 1148 and 1886, to get
1886 = 1148 x 1 + 738
Step 3: We consider the new divisor 1148 and the new remainder 738, and apply the division lemma to get
1148 = 738 x 1 + 410
We consider the new divisor 738 and the new remainder 410,and apply the division lemma to get
738 = 410 x 1 + 328
We consider the new divisor 410 and the new remainder 328,and apply the division lemma to get
410 = 328 x 1 + 82
We consider the new divisor 328 and the new remainder 82,and apply the division lemma to get
328 = 82 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 82, the HCF of 3034 and 1886 is 82
Notice that 82 = HCF(328,82) = HCF(410,328) = HCF(738,410) = HCF(1148,738) = HCF(1886,1148) = HCF(3034,1886) .
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Frequently Asked Questions on HCF of 3034, 1886 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 3034, 1886?
Answer: HCF of 3034, 1886 is 82 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3034, 1886 using Euclid's Algorithm?
Answer: For arbitrary numbers 3034, 1886 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.