Highest Common Factor of 6051, 1792 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 6051, 1792 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6051, 1792 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 6051, 1792 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 6051, 1792 is 1.
HCF(6051, 1792) = 1
HCF of 6051, 1792 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6051, 1792 is 1.
Highest Common Factor of 6051,1792 is 1
Step 1: Since 6051 > 1792, we apply the division lemma to 6051 and 1792, to get
6051 = 1792 x 3 + 675
Step 2: Since the reminder 1792 ≠ 0, we apply division lemma to 675 and 1792, to get
1792 = 675 x 2 + 442
Step 3: We consider the new divisor 675 and the new remainder 442, and apply the division lemma to get
675 = 442 x 1 + 233
We consider the new divisor 442 and the new remainder 233,and apply the division lemma to get
442 = 233 x 1 + 209
We consider the new divisor 233 and the new remainder 209,and apply the division lemma to get
233 = 209 x 1 + 24
We consider the new divisor 209 and the new remainder 24,and apply the division lemma to get
209 = 24 x 8 + 17
We consider the new divisor 24 and the new remainder 17,and apply the division lemma to get
24 = 17 x 1 + 7
We consider the new divisor 17 and the new remainder 7,and apply the division lemma to get
17 = 7 x 2 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 6051 and 1792 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(17,7) = HCF(24,17) = HCF(209,24) = HCF(233,209) = HCF(442,233) = HCF(675,442) = HCF(1792,675) = HCF(6051,1792) .
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Frequently Asked Questions on HCF of 6051, 1792 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 6051, 1792?
Answer: HCF of 6051, 1792 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6051, 1792 using Euclid's Algorithm?
Answer: For arbitrary numbers 6051, 1792 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.