Highest Common Factor of 2834, 3803 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 2834, 3803 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2834, 3803 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 2834, 3803 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 2834, 3803 is 1.
HCF(2834, 3803) = 1
HCF of 2834, 3803 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2834, 3803 is 1.
Highest Common Factor of 2834,3803 is 1
Step 1: Since 3803 > 2834, we apply the division lemma to 3803 and 2834, to get
3803 = 2834 x 1 + 969
Step 2: Since the reminder 2834 ≠ 0, we apply division lemma to 969 and 2834, to get
2834 = 969 x 2 + 896
Step 3: We consider the new divisor 969 and the new remainder 896, and apply the division lemma to get
969 = 896 x 1 + 73
We consider the new divisor 896 and the new remainder 73,and apply the division lemma to get
896 = 73 x 12 + 20
We consider the new divisor 73 and the new remainder 20,and apply the division lemma to get
73 = 20 x 3 + 13
We consider the new divisor 20 and the new remainder 13,and apply the division lemma to get
20 = 13 x 1 + 7
We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get
13 = 7 x 1 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2834 and 3803 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(20,13) = HCF(73,20) = HCF(896,73) = HCF(969,896) = HCF(2834,969) = HCF(3803,2834) .
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Frequently Asked Questions on HCF of 2834, 3803 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 2834, 3803?
Answer: HCF of 2834, 3803 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2834, 3803 using Euclid's Algorithm?
Answer: For arbitrary numbers 2834, 3803 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.