Highest Common Factor of 3834, 5949 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 3834, 5949 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 3834, 5949 is 9 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 3834, 5949 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 3834, 5949 is 9.
HCF(3834, 5949) = 9
HCF of 3834, 5949 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3834, 5949 is 9.
Highest Common Factor of 3834,5949 is 9
Step 1: Since 5949 > 3834, we apply the division lemma to 5949 and 3834, to get
5949 = 3834 x 1 + 2115
Step 2: Since the reminder 3834 ≠ 0, we apply division lemma to 2115 and 3834, to get
3834 = 2115 x 1 + 1719
Step 3: We consider the new divisor 2115 and the new remainder 1719, and apply the division lemma to get
2115 = 1719 x 1 + 396
We consider the new divisor 1719 and the new remainder 396,and apply the division lemma to get
1719 = 396 x 4 + 135
We consider the new divisor 396 and the new remainder 135,and apply the division lemma to get
396 = 135 x 2 + 126
We consider the new divisor 135 and the new remainder 126,and apply the division lemma to get
135 = 126 x 1 + 9
We consider the new divisor 126 and the new remainder 9,and apply the division lemma to get
126 = 9 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 3834 and 5949 is 9
Notice that 9 = HCF(126,9) = HCF(135,126) = HCF(396,135) = HCF(1719,396) = HCF(2115,1719) = HCF(3834,2115) = HCF(5949,3834) .
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Frequently Asked Questions on HCF of 3834, 5949 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 3834, 5949?
Answer: HCF of 3834, 5949 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3834, 5949 using Euclid's Algorithm?
Answer: For arbitrary numbers 3834, 5949 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.