Highest Common Factor of 3563, 1827 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 3563, 1827 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 3563, 1827 is 7 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 3563, 1827 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 3563, 1827 is 7.
HCF(3563, 1827) = 7
HCF of 3563, 1827 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3563, 1827 is 7.
Highest Common Factor of 3563,1827 is 7
Step 1: Since 3563 > 1827, we apply the division lemma to 3563 and 1827, to get
3563 = 1827 x 1 + 1736
Step 2: Since the reminder 1827 ≠ 0, we apply division lemma to 1736 and 1827, to get
1827 = 1736 x 1 + 91
Step 3: We consider the new divisor 1736 and the new remainder 91, and apply the division lemma to get
1736 = 91 x 19 + 7
We consider the new divisor 91 and the new remainder 7, and apply the division lemma to get
91 = 7 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 3563 and 1827 is 7
Notice that 7 = HCF(91,7) = HCF(1736,91) = HCF(1827,1736) = HCF(3563,1827) .
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Frequently Asked Questions on HCF of 3563, 1827 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 3563, 1827?
Answer: HCF of 3563, 1827 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3563, 1827 using Euclid's Algorithm?
Answer: For arbitrary numbers 3563, 1827 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.