Highest Common Factor of 3043, 1892 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 3043, 1892 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3043, 1892 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 3043, 1892 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 3043, 1892 is 1.
HCF(3043, 1892) = 1
HCF of 3043, 1892 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3043, 1892 is 1.
Highest Common Factor of 3043,1892 is 1
Step 1: Since 3043 > 1892, we apply the division lemma to 3043 and 1892, to get
3043 = 1892 x 1 + 1151
Step 2: Since the reminder 1892 ≠ 0, we apply division lemma to 1151 and 1892, to get
1892 = 1151 x 1 + 741
Step 3: We consider the new divisor 1151 and the new remainder 741, and apply the division lemma to get
1151 = 741 x 1 + 410
We consider the new divisor 741 and the new remainder 410,and apply the division lemma to get
741 = 410 x 1 + 331
We consider the new divisor 410 and the new remainder 331,and apply the division lemma to get
410 = 331 x 1 + 79
We consider the new divisor 331 and the new remainder 79,and apply the division lemma to get
331 = 79 x 4 + 15
We consider the new divisor 79 and the new remainder 15,and apply the division lemma to get
79 = 15 x 5 + 4
We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get
15 = 4 x 3 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3043 and 1892 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(79,15) = HCF(331,79) = HCF(410,331) = HCF(741,410) = HCF(1151,741) = HCF(1892,1151) = HCF(3043,1892) .
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Frequently Asked Questions on HCF of 3043, 1892 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 3043, 1892?
Answer: HCF of 3043, 1892 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3043, 1892 using Euclid's Algorithm?
Answer: For arbitrary numbers 3043, 1892 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
