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 1831, 8405 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1831, 8405 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 1831, 8405 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 1831, 8405 is 1.
HCF(1831, 8405) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1831, 8405 is 1.
Step 1: Since 8405 > 1831, we apply the division lemma to 8405 and 1831, to get
8405 = 1831 x 4 + 1081
Step 2: Since the reminder 1831 ≠ 0, we apply division lemma to 1081 and 1831, to get
1831 = 1081 x 1 + 750
Step 3: We consider the new divisor 1081 and the new remainder 750, and apply the division lemma to get
1081 = 750 x 1 + 331
We consider the new divisor 750 and the new remainder 331,and apply the division lemma to get
750 = 331 x 2 + 88
We consider the new divisor 331 and the new remainder 88,and apply the division lemma to get
331 = 88 x 3 + 67
We consider the new divisor 88 and the new remainder 67,and apply the division lemma to get
88 = 67 x 1 + 21
We consider the new divisor 67 and the new remainder 21,and apply the division lemma to get
67 = 21 x 3 + 4
We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get
21 = 4 x 5 + 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 1831 and 8405 is 1
Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(67,21) = HCF(88,67) = HCF(331,88) = HCF(750,331) = HCF(1081,750) = HCF(1831,1081) = HCF(8405,1831) .
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 1831, 8405?
Answer: HCF of 1831, 8405 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1831, 8405 using Euclid's Algorithm?
Answer: For arbitrary numbers 1831, 8405 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.