Highest Common Factor of 3830, 5794 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 3830, 5794 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3830, 5794 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 3830, 5794 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 3830, 5794 is 2.
HCF(3830, 5794) = 2
HCF of 3830, 5794 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3830, 5794 is 2.
Highest Common Factor of 3830,5794 is 2
Step 1: Since 5794 > 3830, we apply the division lemma to 5794 and 3830, to get
5794 = 3830 x 1 + 1964
Step 2: Since the reminder 3830 ≠ 0, we apply division lemma to 1964 and 3830, to get
3830 = 1964 x 1 + 1866
Step 3: We consider the new divisor 1964 and the new remainder 1866, and apply the division lemma to get
1964 = 1866 x 1 + 98
We consider the new divisor 1866 and the new remainder 98,and apply the division lemma to get
1866 = 98 x 19 + 4
We consider the new divisor 98 and the new remainder 4,and apply the division lemma to get
98 = 4 x 24 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3830 and 5794 is 2
Notice that 2 = HCF(4,2) = HCF(98,4) = HCF(1866,98) = HCF(1964,1866) = HCF(3830,1964) = HCF(5794,3830) .
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Frequently Asked Questions on HCF of 3830, 5794 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 3830, 5794?
Answer: HCF of 3830, 5794 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3830, 5794 using Euclid's Algorithm?
Answer: For arbitrary numbers 3830, 5794 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.