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 3823, 2930 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3823, 2930 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 3823, 2930 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 3823, 2930 is 1.
HCF(3823, 2930) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3823, 2930 is 1.
Step 1: Since 3823 > 2930, we apply the division lemma to 3823 and 2930, to get
3823 = 2930 x 1 + 893
Step 2: Since the reminder 2930 ≠ 0, we apply division lemma to 893 and 2930, to get
2930 = 893 x 3 + 251
Step 3: We consider the new divisor 893 and the new remainder 251, and apply the division lemma to get
893 = 251 x 3 + 140
We consider the new divisor 251 and the new remainder 140,and apply the division lemma to get
251 = 140 x 1 + 111
We consider the new divisor 140 and the new remainder 111,and apply the division lemma to get
140 = 111 x 1 + 29
We consider the new divisor 111 and the new remainder 29,and apply the division lemma to get
111 = 29 x 3 + 24
We consider the new divisor 29 and the new remainder 24,and apply the division lemma to get
29 = 24 x 1 + 5
We consider the new divisor 24 and the new remainder 5,and apply the division lemma to get
24 = 5 x 4 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3823 and 2930 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(24,5) = HCF(29,24) = HCF(111,29) = HCF(140,111) = HCF(251,140) = HCF(893,251) = HCF(2930,893) = HCF(3823,2930) .
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 3823, 2930?
Answer: HCF of 3823, 2930 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3823, 2930 using Euclid's Algorithm?
Answer: For arbitrary numbers 3823, 2930 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.