Highest Common Factor of 1805, 7644 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 1805, 7644 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1805, 7644 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 1805, 7644 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 1805, 7644 is 1.
HCF(1805, 7644) = 1
HCF of 1805, 7644 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1805, 7644 is 1.
Highest Common Factor of 1805,7644 is 1
Step 1: Since 7644 > 1805, we apply the division lemma to 7644 and 1805, to get
7644 = 1805 x 4 + 424
Step 2: Since the reminder 1805 ≠ 0, we apply division lemma to 424 and 1805, to get
1805 = 424 x 4 + 109
Step 3: We consider the new divisor 424 and the new remainder 109, and apply the division lemma to get
424 = 109 x 3 + 97
We consider the new divisor 109 and the new remainder 97,and apply the division lemma to get
109 = 97 x 1 + 12
We consider the new divisor 97 and the new remainder 12,and apply the division lemma to get
97 = 12 x 8 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1805 and 7644 is 1
Notice that 1 = HCF(12,1) = HCF(97,12) = HCF(109,97) = HCF(424,109) = HCF(1805,424) = HCF(7644,1805) .
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Frequently Asked Questions on HCF of 1805, 7644 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 1805, 7644?
Answer: HCF of 1805, 7644 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1805, 7644 using Euclid's Algorithm?
Answer: For arbitrary numbers 1805, 7644 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.