Highest Common Factor of 1683, 3813 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 1683, 3813 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 1683, 3813 is 3 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 1683, 3813 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 1683, 3813 is 3.
HCF(1683, 3813) = 3
HCF of 1683, 3813 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1683, 3813 is 3.
Highest Common Factor of 1683,3813 is 3
Step 1: Since 3813 > 1683, we apply the division lemma to 3813 and 1683, to get
3813 = 1683 x 2 + 447
Step 2: Since the reminder 1683 ≠ 0, we apply division lemma to 447 and 1683, to get
1683 = 447 x 3 + 342
Step 3: We consider the new divisor 447 and the new remainder 342, and apply the division lemma to get
447 = 342 x 1 + 105
We consider the new divisor 342 and the new remainder 105,and apply the division lemma to get
342 = 105 x 3 + 27
We consider the new divisor 105 and the new remainder 27,and apply the division lemma to get
105 = 27 x 3 + 24
We consider the new divisor 27 and the new remainder 24,and apply the division lemma to get
27 = 24 x 1 + 3
We consider the new divisor 24 and the new remainder 3,and apply the division lemma to get
24 = 3 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 1683 and 3813 is 3
Notice that 3 = HCF(24,3) = HCF(27,24) = HCF(105,27) = HCF(342,105) = HCF(447,342) = HCF(1683,447) = HCF(3813,1683) .
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Frequently Asked Questions on HCF of 1683, 3813 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 1683, 3813?
Answer: HCF of 1683, 3813 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1683, 3813 using Euclid's Algorithm?
Answer: For arbitrary numbers 1683, 3813 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
