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 5834, 4046 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5834, 4046 is 2 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 5834, 4046 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 5834, 4046 is 2.
HCF(5834, 4046) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5834, 4046 is 2.
Step 1: Since 5834 > 4046, we apply the division lemma to 5834 and 4046, to get
5834 = 4046 x 1 + 1788
Step 2: Since the reminder 4046 ≠ 0, we apply division lemma to 1788 and 4046, to get
4046 = 1788 x 2 + 470
Step 3: We consider the new divisor 1788 and the new remainder 470, and apply the division lemma to get
1788 = 470 x 3 + 378
We consider the new divisor 470 and the new remainder 378,and apply the division lemma to get
470 = 378 x 1 + 92
We consider the new divisor 378 and the new remainder 92,and apply the division lemma to get
378 = 92 x 4 + 10
We consider the new divisor 92 and the new remainder 10,and apply the division lemma to get
92 = 10 x 9 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5834 and 4046 is 2
Notice that 2 = HCF(10,2) = HCF(92,10) = HCF(378,92) = HCF(470,378) = HCF(1788,470) = HCF(4046,1788) = HCF(5834,4046) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 5834, 4046?
Answer: HCF of 5834, 4046 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5834, 4046 using Euclid's Algorithm?
Answer: For arbitrary numbers 5834, 4046 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.