Highest Common Factor of 1764, 6143 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 1764, 6143 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1764, 6143 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 1764, 6143 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 1764, 6143 is 1.
HCF(1764, 6143) = 1
HCF of 1764, 6143 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1764, 6143 is 1.
Highest Common Factor of 1764,6143 is 1
Step 1: Since 6143 > 1764, we apply the division lemma to 6143 and 1764, to get
6143 = 1764 x 3 + 851
Step 2: Since the reminder 1764 ≠ 0, we apply division lemma to 851 and 1764, to get
1764 = 851 x 2 + 62
Step 3: We consider the new divisor 851 and the new remainder 62, and apply the division lemma to get
851 = 62 x 13 + 45
We consider the new divisor 62 and the new remainder 45,and apply the division lemma to get
62 = 45 x 1 + 17
We consider the new divisor 45 and the new remainder 17,and apply the division lemma to get
45 = 17 x 2 + 11
We consider the new divisor 17 and the new remainder 11,and apply the division lemma to get
17 = 11 x 1 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1764 and 6143 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(17,11) = HCF(45,17) = HCF(62,45) = HCF(851,62) = HCF(1764,851) = HCF(6143,1764) .
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Frequently Asked Questions on HCF of 1764, 6143 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 1764, 6143?
Answer: HCF of 1764, 6143 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1764, 6143 using Euclid's Algorithm?
Answer: For arbitrary numbers 1764, 6143 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.